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Finding the Third Proportional to 306,418,275 and 655,303,878

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Solution

The third proportional to 306,418,275 and 655,303,878 is: 1,401,428,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,418,275 : 655,303,878 = 655,303,878 : x
  2. Step 2: Convert to fraction form
    306,418,275/655,303,878 = 655,303,878/x
  3. Step 3: Cross multiply
    306,418,275x = 655,303,878 × 655,303,878
  4. Step 4: Simplify right side
    306,418,275x = 429,423,172,521,838,912
  5. Step 5: Solve for x
    x = 429,423,172,521,838,912/306,418,275
  6. Step 6: Final answer
    x = 1,401,428,072.53

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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.