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Finding the Third Proportional to 206,884.13 and 322,586.30

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Solution

The third proportional to 206,884.13 and 322,586.30 is: 502,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.13 : 322,586.30 = 322,586.30 : x
  2. Step 2: Convert to fraction form
    206,884.13/322,586.30 = 322,586.30/x
  3. Step 3: Cross multiply
    206,884.13x = 322,586.30 × 322,586.30
  4. Step 4: Simplify right side
    206,884.13x = 104,061,918,931.53
  5. Step 5: Solve for x
    x = 104,061,918,931.53/206,884.13
  6. Step 6: Final answer
    x = 502,996.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.