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Finding the Third Proportional to 362,281.50 and 532,338.75

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Solution

The third proportional to 362,281.50 and 532,338.75 is: 782,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,281.50 : 532,338.75 = 532,338.75 : x
  2. Step 2: Convert to fraction form
    362,281.50/532,338.75 = 532,338.75/x
  3. Step 3: Cross multiply
    362,281.50x = 532,338.75 × 532,338.75
  4. Step 4: Simplify right side
    362,281.50x = 283,384,544,751.56
  5. Step 5: Solve for x
    x = 283,384,544,751.56/362,281.50
  6. Step 6: Final answer
    x = 782,221.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.