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Finding the Third Proportional to 302,967.38 and 469,761.75

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Solution

The third proportional to 302,967.38 and 469,761.75 is: 728,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,967.38 : 469,761.75 = 469,761.75 : x
  2. Step 2: Convert to fraction form
    302,967.38/469,761.75 = 469,761.75/x
  3. Step 3: Cross multiply
    302,967.38x = 469,761.75 × 469,761.75
  4. Step 4: Simplify right side
    302,967.38x = 220,676,101,763.06
  5. Step 5: Solve for x
    x = 220,676,101,763.06/302,967.38
  6. Step 6: Final answer
    x = 728,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.