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Finding the Third Proportional to 391,014 and 584,793

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Solution

The third proportional to 391,014 and 584,793 is: 874,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,014 : 584,793 = 584,793 : x
  2. Step 2: Convert to fraction form
    391,014/584,793 = 584,793/x
  3. Step 3: Cross multiply
    391,014x = 584,793 × 584,793
  4. Step 4: Simplify right side
    391,014x = 341,982,852,849
  5. Step 5: Solve for x
    x = 341,982,852,849/391,014
  6. Step 6: Final answer
    x = 874,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.