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Finding the Third Proportional to 464,909 and 681,432

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Solution

The third proportional to 464,909 and 681,432 is: 998,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,909 : 681,432 = 681,432 : x
  2. Step 2: Convert to fraction form
    464,909/681,432 = 681,432/x
  3. Step 3: Cross multiply
    464,909x = 681,432 × 681,432
  4. Step 4: Simplify right side
    464,909x = 464,349,570,624
  5. Step 5: Solve for x
    x = 464,349,570,624/464,909
  6. Step 6: Final answer
    x = 998,796.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.