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Finding the Third Proportional to 362,002 and 532,459

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Solution

The third proportional to 362,002 and 532,459 is: 783,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,002 : 532,459 = 532,459 : x
  2. Step 2: Convert to fraction form
    362,002/532,459 = 532,459/x
  3. Step 3: Cross multiply
    362,002x = 532,459 × 532,459
  4. Step 4: Simplify right side
    362,002x = 283,512,586,681
  5. Step 5: Solve for x
    x = 283,512,586,681/362,002
  6. Step 6: Final answer
    x = 783,179.61

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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.