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Finding the Third Proportional to 360,976.50 and 572,082.75

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Solution

The third proportional to 360,976.50 and 572,082.75 is: 906,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,976.50 : 572,082.75 = 572,082.75 : x
  2. Step 2: Convert to fraction form
    360,976.50/572,082.75 = 572,082.75/x
  3. Step 3: Cross multiply
    360,976.50x = 572,082.75 × 572,082.75
  4. Step 4: Simplify right side
    360,976.50x = 327,278,672,847.56
  5. Step 5: Solve for x
    x = 327,278,672,847.56/360,976.50
  6. Step 6: Final answer
    x = 906,648.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.