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Finding the Third Proportional to 412,932.94 and 724,534.88

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Solution

The third proportional to 412,932.94 and 724,534.88 is: 1,271,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,932.94 : 724,534.88 = 724,534.88 : x
  2. Step 2: Convert to fraction form
    412,932.94/724,534.88 = 724,534.88/x
  3. Step 3: Cross multiply
    412,932.94x = 724,534.88 × 724,534.88
  4. Step 4: Simplify right side
    412,932.94x = 524,950,785,091.27
  5. Step 5: Solve for x
    x = 524,950,785,091.27/412,932.94
  6. Step 6: Final answer
    x = 1,271,273.70

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.