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Finding the Third Proportional to 227,176.31 and 495,617.06

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Solution

The third proportional to 227,176.31 and 495,617.06 is: 1,081,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,176.31 : 495,617.06 = 495,617.06 : x
  2. Step 2: Convert to fraction form
    227,176.31/495,617.06 = 495,617.06/x
  3. Step 3: Cross multiply
    227,176.31x = 495,617.06 × 495,617.06
  4. Step 4: Simplify right side
    227,176.31x = 245,636,272,641.13
  5. Step 5: Solve for x
    x = 245,636,272,641.13/227,176.31
  6. Step 6: Final answer
    x = 1,081,258.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.