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Finding the Third Proportional to 225,648.75 and 495,586.13

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Solution

The third proportional to 225,648.75 and 495,586.13 is: 1,088,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,648.75 : 495,586.13 = 495,586.13 : x
  2. Step 2: Convert to fraction form
    225,648.75/495,586.13 = 495,586.13/x
  3. Step 3: Cross multiply
    225,648.75x = 495,586.13 × 495,586.13
  4. Step 4: Simplify right side
    225,648.75x = 245,605,607,292.52
  5. Step 5: Solve for x
    x = 245,605,607,292.52/225,648.75
  6. Step 6: Final answer
    x = 1,088,442.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.