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Finding the Third Proportional to 415,324.50 and 650,652.75

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Solution

The third proportional to 415,324.50 and 650,652.75 is: 1,019,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,324.50 : 650,652.75 = 650,652.75 : x
  2. Step 2: Convert to fraction form
    415,324.50/650,652.75 = 650,652.75/x
  3. Step 3: Cross multiply
    415,324.50x = 650,652.75 × 650,652.75
  4. Step 4: Simplify right side
    415,324.50x = 423,349,001,082.56
  5. Step 5: Solve for x
    x = 423,349,001,082.56/415,324.50
  6. Step 6: Final answer
    x = 1,019,321.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.