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Finding the Third Proportional to 412,687.13 and 615,223.13

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Solution

The third proportional to 412,687.13 and 615,223.13 is: 917,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,687.13 : 615,223.13 = 615,223.13 : x
  2. Step 2: Convert to fraction form
    412,687.13/615,223.13 = 615,223.13/x
  3. Step 3: Cross multiply
    412,687.13x = 615,223.13 × 615,223.13
  4. Step 4: Simplify right side
    412,687.13x = 378,499,493,534.77
  5. Step 5: Solve for x
    x = 378,499,493,534.77/412,687.13
  6. Step 6: Final answer
    x = 917,158.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.