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Finding the Third Proportional to 305,919.38 and 656,125.13

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Solution

The third proportional to 305,919.38 and 656,125.13 is: 1,407,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,919.38 : 656,125.13 = 656,125.13 : x
  2. Step 2: Convert to fraction form
    305,919.38/656,125.13 = 656,125.13/x
  3. Step 3: Cross multiply
    305,919.38x = 656,125.13 × 656,125.13
  4. Step 4: Simplify right side
    305,919.38x = 430,500,179,656.27
  5. Step 5: Solve for x
    x = 430,500,179,656.27/305,919.38
  6. Step 6: Final answer
    x = 1,407,234.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.