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Finding the Third Proportional to 269,215.88 and 416,805.19

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Solution

The third proportional to 269,215.88 and 416,805.19 is: 645,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,215.88 : 416,805.19 = 416,805.19 : x
  2. Step 2: Convert to fraction form
    269,215.88/416,805.19 = 416,805.19/x
  3. Step 3: Cross multiply
    269,215.88x = 416,805.19 × 416,805.19
  4. Step 4: Simplify right side
    269,215.88x = 173,726,564,326.91
  5. Step 5: Solve for x
    x = 173,726,564,326.91/269,215.88
  6. Step 6: Final answer
    x = 645,305.80

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