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Finding the Third Proportional to 232,806 and 502,710

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Solution

The third proportional to 232,806 and 502,710 is: 1,085,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,806 : 502,710 = 502,710 : x
  2. Step 2: Convert to fraction form
    232,806/502,710 = 502,710/x
  3. Step 3: Cross multiply
    232,806x = 502,710 × 502,710
  4. Step 4: Simplify right side
    232,806x = 252,717,344,100
  5. Step 5: Solve for x
    x = 252,717,344,100/232,806
  6. Step 6: Final answer
    x = 1,085,527.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.