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Finding the Third Proportional to 362,162 and 532,317

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Solution

The third proportional to 362,162 and 532,317 is: 782,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,162 : 532,317 = 532,317 : x
  2. Step 2: Convert to fraction form
    362,162/532,317 = 532,317/x
  3. Step 3: Cross multiply
    362,162x = 532,317 × 532,317
  4. Step 4: Simplify right side
    362,162x = 283,361,388,489
  5. Step 5: Solve for x
    x = 283,361,388,489/362,162
  6. Step 6: Final answer
    x = 782,416.12

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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.