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Finding the Third Proportional to 497,872 and 791,592

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Solution

The third proportional to 497,872 and 791,592 is: 1,258,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,872 : 791,592 = 791,592 : x
  2. Step 2: Convert to fraction form
    497,872/791,592 = 791,592/x
  3. Step 3: Cross multiply
    497,872x = 791,592 × 791,592
  4. Step 4: Simplify right side
    497,872x = 626,617,894,464
  5. Step 5: Solve for x
    x = 626,617,894,464/497,872
  6. Step 6: Final answer
    x = 1,258,592.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.