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Finding the Third Proportional to 381,373.31 and 558,414

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Solution

The third proportional to 381,373.31 and 558,414 is: 817,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,373.31 : 558,414 = 558,414 : x
  2. Step 2: Convert to fraction form
    381,373.31/558,414 = 558,414/x
  3. Step 3: Cross multiply
    381,373.31x = 558,414 × 558,414
  4. Step 4: Simplify right side
    381,373.31x = 311,826,195,396
  5. Step 5: Solve for x
    x = 311,826,195,396/381,373.31
  6. Step 6: Final answer
    x = 817,640.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.