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Finding the Third Proportional to 350,552 and 767,432

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Solution

The third proportional to 350,552 and 767,432 is: 1,680,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,552 : 767,432 = 767,432 : x
  2. Step 2: Convert to fraction form
    350,552/767,432 = 767,432/x
  3. Step 3: Cross multiply
    350,552x = 767,432 × 767,432
  4. Step 4: Simplify right side
    350,552x = 588,951,874,624
  5. Step 5: Solve for x
    x = 588,951,874,624/350,552
  6. Step 6: Final answer
    x = 1,680,069.93

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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.