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Finding the Third Proportional to 364,917 and 581,103

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Solution

The third proportional to 364,917 and 581,103 is: 925,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,917 : 581,103 = 581,103 : x
  2. Step 2: Convert to fraction form
    364,917/581,103 = 581,103/x
  3. Step 3: Cross multiply
    364,917x = 581,103 × 581,103
  4. Step 4: Simplify right side
    364,917x = 337,680,696,609
  5. Step 5: Solve for x
    x = 337,680,696,609/364,917
  6. Step 6: Final answer
    x = 925,363.02

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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.