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Finding the Third Proportional to 269,730.75 and 590,257.13

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Solution

The third proportional to 269,730.75 and 590,257.13 is: 1,291,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,730.75 : 590,257.13 = 590,257.13 : x
  2. Step 2: Convert to fraction form
    269,730.75/590,257.13 = 590,257.13/x
  3. Step 3: Cross multiply
    269,730.75x = 590,257.13 × 590,257.13
  4. Step 4: Simplify right side
    269,730.75x = 348,403,473,613.27
  5. Step 5: Solve for x
    x = 348,403,473,613.27/269,730.75
  6. Step 6: Final answer
    x = 1,291,671.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.