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Finding the Third Proportional to 352,440 and 762,226

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Solution

The third proportional to 352,440 and 762,226 is: 1,648,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,440 : 762,226 = 762,226 : x
  2. Step 2: Convert to fraction form
    352,440/762,226 = 762,226/x
  3. Step 3: Cross multiply
    352,440x = 762,226 × 762,226
  4. Step 4: Simplify right side
    352,440x = 580,988,475,076
  5. Step 5: Solve for x
    x = 580,988,475,076/352,440
  6. Step 6: Final answer
    x = 1,648,474.85

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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.