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Finding the Third Proportional to 225,510 and 495,660

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Solution

The third proportional to 225,510 and 495,660 is: 1,089,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,510 : 495,660 = 495,660 : x
  2. Step 2: Convert to fraction form
    225,510/495,660 = 495,660/x
  3. Step 3: Cross multiply
    225,510x = 495,660 × 495,660
  4. Step 4: Simplify right side
    225,510x = 245,678,835,600
  5. Step 5: Solve for x
    x = 245,678,835,600/225,510
  6. Step 6: Final answer
    x = 1,089,436.55

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