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Finding the Third Proportional to 362,127 and 532,092

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Solution

The third proportional to 362,127 and 532,092 is: 781,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,127 : 532,092 = 532,092 : x
  2. Step 2: Convert to fraction form
    362,127/532,092 = 532,092/x
  3. Step 3: Cross multiply
    362,127x = 532,092 × 532,092
  4. Step 4: Simplify right side
    362,127x = 283,121,896,464
  5. Step 5: Solve for x
    x = 283,121,896,464/362,127
  6. Step 6: Final answer
    x = 781,830.40

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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.