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Finding the Third Proportional to 503,299.83 and 762,279.61

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Solution

The third proportional to 503,299.83 and 762,279.61 is: 1,154,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,299.83 : 762,279.61 = 762,279.61 : x
  2. Step 2: Convert to fraction form
    503,299.83/762,279.61 = 762,279.61/x
  3. Step 3: Cross multiply
    503,299.83x = 762,279.61 × 762,279.61
  4. Step 4: Simplify right side
    503,299.83x = 581,070,202,868.90
  5. Step 5: Solve for x
    x = 581,070,202,868.90/503,299.83
  6. Step 6: Final answer
    x = 1,154,520.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.