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Finding the Third Proportional to 354,586 and 532,241

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Solution

The third proportional to 354,586 and 532,241 is: 798,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,586 : 532,241 = 532,241 : x
  2. Step 2: Convert to fraction form
    354,586/532,241 = 532,241/x
  3. Step 3: Cross multiply
    354,586x = 532,241 × 532,241
  4. Step 4: Simplify right side
    354,586x = 283,280,482,081
  5. Step 5: Solve for x
    x = 283,280,482,081/354,586
  6. Step 6: Final answer
    x = 798,904.87

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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.