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Finding the Third Proportional to 240,114 and 517,470

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Solution

The third proportional to 240,114 and 517,470 is: 1,115,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,114 : 517,470 = 517,470 : x
  2. Step 2: Convert to fraction form
    240,114/517,470 = 517,470/x
  3. Step 3: Cross multiply
    240,114x = 517,470 × 517,470
  4. Step 4: Simplify right side
    240,114x = 267,775,200,900
  5. Step 5: Solve for x
    x = 267,775,200,900/240,114
  6. Step 6: Final answer
    x = 1,115,200.28

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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.