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Finding the Third Proportional to 240,068 and 517,352

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Solution

The third proportional to 240,068 and 517,352 is: 1,114,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,068 : 517,352 = 517,352 : x
  2. Step 2: Convert to fraction form
    240,068/517,352 = 517,352/x
  3. Step 3: Cross multiply
    240,068x = 517,352 × 517,352
  4. Step 4: Simplify right side
    240,068x = 267,653,091,904
  5. Step 5: Solve for x
    x = 267,653,091,904/240,068
  6. Step 6: Final answer
    x = 1,114,905.33

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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.