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Finding the Third Proportional to 327,230 and 502,806

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Solution

The third proportional to 327,230 and 502,806 is: 772,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,230 : 502,806 = 502,806 : x
  2. Step 2: Convert to fraction form
    327,230/502,806 = 502,806/x
  3. Step 3: Cross multiply
    327,230x = 502,806 × 502,806
  4. Step 4: Simplify right side
    327,230x = 252,813,873,636
  5. Step 5: Solve for x
    x = 252,813,873,636/327,230
  6. Step 6: Final answer
    x = 772,587.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.