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Finding the Third Proportional to 362,107 and 532,065

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Solution

The third proportional to 362,107 and 532,065 is: 781,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,107 : 532,065 = 532,065 : x
  2. Step 2: Convert to fraction form
    362,107/532,065 = 532,065/x
  3. Step 3: Cross multiply
    362,107x = 532,065 × 532,065
  4. Step 4: Simplify right side
    362,107x = 283,093,164,225
  5. Step 5: Solve for x
    x = 283,093,164,225/362,107
  6. Step 6: Final answer
    x = 781,794.23

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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.