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Finding the Third Proportional to 362,351 and 532,870

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Solution

The third proportional to 362,351 and 532,870 is: 783,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,351 : 532,870 = 532,870 : x
  2. Step 2: Convert to fraction form
    362,351/532,870 = 532,870/x
  3. Step 3: Cross multiply
    362,351x = 532,870 × 532,870
  4. Step 4: Simplify right side
    362,351x = 283,950,436,900
  5. Step 5: Solve for x
    x = 283,950,436,900/362,351
  6. Step 6: Final answer
    x = 783,633.65

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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.