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Finding the Third Proportional to 349,552 and 758,432

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Solution

The third proportional to 349,552 and 758,432 is: 1,645,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,552 : 758,432 = 758,432 : x
  2. Step 2: Convert to fraction form
    349,552/758,432 = 758,432/x
  3. Step 3: Cross multiply
    349,552x = 758,432 × 758,432
  4. Step 4: Simplify right side
    349,552x = 575,219,098,624
  5. Step 5: Solve for x
    x = 575,219,098,624/349,552
  6. Step 6: Final answer
    x = 1,645,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.