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Finding the Third Proportional to 240,062 and 517,342

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Solution

The third proportional to 240,062 and 517,342 is: 1,114,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,062 : 517,342 = 517,342 : x
  2. Step 2: Convert to fraction form
    240,062/517,342 = 517,342/x
  3. Step 3: Cross multiply
    240,062x = 517,342 × 517,342
  4. Step 4: Simplify right side
    240,062x = 267,642,744,964
  5. Step 5: Solve for x
    x = 267,642,744,964/240,062
  6. Step 6: Final answer
    x = 1,114,890.09

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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.