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Finding the Third Proportional to 269,748 and 416,790

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Solution

The third proportional to 269,748 and 416,790 is: 643,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,748 : 416,790 = 416,790 : x
  2. Step 2: Convert to fraction form
    269,748/416,790 = 416,790/x
  3. Step 3: Cross multiply
    269,748x = 416,790 × 416,790
  4. Step 4: Simplify right side
    269,748x = 173,713,904,100
  5. Step 5: Solve for x
    x = 173,713,904,100/269,748
  6. Step 6: Final answer
    x = 643,985.88

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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.