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Finding the Third Proportional to 362,359 and 532,881

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Solution

The third proportional to 362,359 and 532,881 is: 783,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,359 : 532,881 = 532,881 : x
  2. Step 2: Convert to fraction form
    362,359/532,881 = 532,881/x
  3. Step 3: Cross multiply
    362,359x = 532,881 × 532,881
  4. Step 4: Simplify right side
    362,359x = 283,962,160,161
  5. Step 5: Solve for x
    x = 283,962,160,161/362,359
  6. Step 6: Final answer
    x = 783,648.70

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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.