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Finding the Third Proportional to 420,288.75 and 656,677.13

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Solution

The third proportional to 420,288.75 and 656,677.13 is: 1,026,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,288.75 : 656,677.13 = 656,677.13 : x
  2. Step 2: Convert to fraction form
    420,288.75/656,677.13 = 656,677.13/x
  3. Step 3: Cross multiply
    420,288.75x = 656,677.13 × 656,677.13
  4. Step 4: Simplify right side
    420,288.75x = 431,224,846,498.27
  5. Step 5: Solve for x
    x = 431,224,846,498.27/420,288.75
  6. Step 6: Final answer
    x = 1,026,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.