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Finding the Third Proportional to 311,854.50 and 482,685.75

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Solution

The third proportional to 311,854.50 and 482,685.75 is: 747,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854.50 : 482,685.75 = 482,685.75 : x
  2. Step 2: Convert to fraction form
    311,854.50/482,685.75 = 482,685.75/x
  3. Step 3: Cross multiply
    311,854.50x = 482,685.75 × 482,685.75
  4. Step 4: Simplify right side
    311,854.50x = 232,985,533,253.06
  5. Step 5: Solve for x
    x = 232,985,533,253.06/311,854.50
  6. Step 6: Final answer
    x = 747,096.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.