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Finding the Third Proportional to 362,355 and 532,875

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Solution

The third proportional to 362,355 and 532,875 is: 783,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,355 : 532,875 = 532,875 : x
  2. Step 2: Convert to fraction form
    362,355/532,875 = 532,875/x
  3. Step 3: Cross multiply
    362,355x = 532,875 × 532,875
  4. Step 4: Simplify right side
    362,355x = 283,955,765,625
  5. Step 5: Solve for x
    x = 283,955,765,625/362,355
  6. Step 6: Final answer
    x = 783,639.71

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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.