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Finding the Third Proportional to 250,350 and 377,654

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Solution

The third proportional to 250,350 and 377,654 is: 569,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,350 : 377,654 = 377,654 : x
  2. Step 2: Convert to fraction form
    250,350/377,654 = 377,654/x
  3. Step 3: Cross multiply
    250,350x = 377,654 × 377,654
  4. Step 4: Simplify right side
    250,350x = 142,622,543,716
  5. Step 5: Solve for x
    x = 142,622,543,716/250,350
  6. Step 6: Final answer
    x = 569,692.61

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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.