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Finding the Third Proportional to 281,882 and 386,535

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Solution

The third proportional to 281,882 and 386,535 is: 530,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,882 : 386,535 = 386,535 : x
  2. Step 2: Convert to fraction form
    281,882/386,535 = 386,535/x
  3. Step 3: Cross multiply
    281,882x = 386,535 × 386,535
  4. Step 4: Simplify right side
    281,882x = 149,409,306,225
  5. Step 5: Solve for x
    x = 149,409,306,225/281,882
  6. Step 6: Final answer
    x = 530,042.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.