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Finding the Third Proportional to 240,813 and 527,301

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Solution

The third proportional to 240,813 and 527,301 is: 1,154,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,813 : 527,301 = 527,301 : x
  2. Step 2: Convert to fraction form
    240,813/527,301 = 527,301/x
  3. Step 3: Cross multiply
    240,813x = 527,301 × 527,301
  4. Step 4: Simplify right side
    240,813x = 278,046,344,601
  5. Step 5: Solve for x
    x = 278,046,344,601/240,813
  6. Step 6: Final answer
    x = 1,154,615.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.