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Finding the Third Proportional to 303,531 and 655,688

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Solution

The third proportional to 303,531 and 655,688 is: 1,416,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,531 : 655,688 = 655,688 : x
  2. Step 2: Convert to fraction form
    303,531/655,688 = 655,688/x
  3. Step 3: Cross multiply
    303,531x = 655,688 × 655,688
  4. Step 4: Simplify right side
    303,531x = 429,926,753,344
  5. Step 5: Solve for x
    x = 429,926,753,344/303,531
  6. Step 6: Final answer
    x = 1,416,417.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.