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Finding the Third Proportional to 302,757.12 and 658,705.61

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Solution

The third proportional to 302,757.12 and 658,705.61 is: 1,433,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,757.12 : 658,705.61 = 658,705.61 : x
  2. Step 2: Convert to fraction form
    302,757.12/658,705.61 = 658,705.61/x
  3. Step 3: Cross multiply
    302,757.12x = 658,705.61 × 658,705.61
  4. Step 4: Simplify right side
    302,757.12x = 433,893,074,675.97
  5. Step 5: Solve for x
    x = 433,893,074,675.97/302,757.12
  6. Step 6: Final answer
    x = 1,433,139.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.