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Finding the Third Proportional to 306,399,667.88 and 655,397,650.50

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Solution

The third proportional to 306,399,667.88 and 655,397,650.50 is: 1,401,914,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,399,667.88 : 655,397,650.50 = 655,397,650.50 : x
  2. Step 2: Convert to fraction form
    306,399,667.88/655,397,650.50 = 655,397,650.50/x
  3. Step 3: Cross multiply
    306,399,667.88x = 655,397,650.50 × 655,397,650.50
  4. Step 4: Simplify right side
    306,399,667.88x = 429,546,080,280,920,128
  5. Step 5: Solve for x
    x = 429,546,080,280,920,128/306,399,667.88
  6. Step 6: Final answer
    x = 1,401,914,314.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.