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Finding the Third Proportional to 232,160 and 503,632

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Solution

The third proportional to 232,160 and 503,632 is: 1,092,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,160 : 503,632 = 503,632 : x
  2. Step 2: Convert to fraction form
    232,160/503,632 = 503,632/x
  3. Step 3: Cross multiply
    232,160x = 503,632 × 503,632
  4. Step 4: Simplify right side
    232,160x = 253,645,191,424
  5. Step 5: Solve for x
    x = 253,645,191,424/232,160
  6. Step 6: Final answer
    x = 1,092,544.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.