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Finding the Third Proportional to 381,543 and 607,344.75

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Solution

The third proportional to 381,543 and 607,344.75 is: 966,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,543 : 607,344.75 = 607,344.75 : x
  2. Step 2: Convert to fraction form
    381,543/607,344.75 = 607,344.75/x
  3. Step 3: Cross multiply
    381,543x = 607,344.75 × 607,344.75
  4. Step 4: Simplify right side
    381,543x = 368,867,645,352.56
  5. Step 5: Solve for x
    x = 368,867,645,352.56/381,543
  6. Step 6: Final answer
    x = 966,778.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.