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Finding the Third Proportional to 314,839 and 679,432

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Solution

The third proportional to 314,839 and 679,432 is: 1,466,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,839 : 679,432 = 679,432 : x
  2. Step 2: Convert to fraction form
    314,839/679,432 = 679,432/x
  3. Step 3: Cross multiply
    314,839x = 679,432 × 679,432
  4. Step 4: Simplify right side
    314,839x = 461,627,842,624
  5. Step 5: Solve for x
    x = 461,627,842,624/314,839
  6. Step 6: Final answer
    x = 1,466,234.62

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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.