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Finding the Third Proportional to 341,545.50 and 527,719.50

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Solution

The third proportional to 341,545.50 and 527,719.50 is: 815,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,545.50 : 527,719.50 = 527,719.50 : x
  2. Step 2: Convert to fraction form
    341,545.50/527,719.50 = 527,719.50/x
  3. Step 3: Cross multiply
    341,545.50x = 527,719.50 × 527,719.50
  4. Step 4: Simplify right side
    341,545.50x = 278,487,870,680.25
  5. Step 5: Solve for x
    x = 278,487,870,680.25/341,545.50
  6. Step 6: Final answer
    x = 815,375.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.