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Finding the Third Proportional to 269,648.25 and 585,132

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Solution

The third proportional to 269,648.25 and 585,132 is: 1,269,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,648.25 : 585,132 = 585,132 : x
  2. Step 2: Convert to fraction form
    269,648.25/585,132 = 585,132/x
  3. Step 3: Cross multiply
    269,648.25x = 585,132 × 585,132
  4. Step 4: Simplify right side
    269,648.25x = 342,379,457,424
  5. Step 5: Solve for x
    x = 342,379,457,424/269,648.25
  6. Step 6: Final answer
    x = 1,269,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.