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Finding the Third Proportional to 306,524 and 655,116

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Solution

The third proportional to 306,524 and 655,116 is: 1,400,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524 : 655,116 = 655,116 : x
  2. Step 2: Convert to fraction form
    306,524/655,116 = 655,116/x
  3. Step 3: Cross multiply
    306,524x = 655,116 × 655,116
  4. Step 4: Simplify right side
    306,524x = 429,176,973,456
  5. Step 5: Solve for x
    x = 429,176,973,456/306,524
  6. Step 6: Final answer
    x = 1,400,141.50

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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.