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Finding the Third Proportional to 362,337 and 532,425

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Solution

The third proportional to 362,337 and 532,425 is: 782,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,337 : 532,425 = 532,425 : x
  2. Step 2: Convert to fraction form
    362,337/532,425 = 532,425/x
  3. Step 3: Cross multiply
    362,337x = 532,425 × 532,425
  4. Step 4: Simplify right side
    362,337x = 283,476,380,625
  5. Step 5: Solve for x
    x = 283,476,380,625/362,337
  6. Step 6: Final answer
    x = 782,355.60

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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.