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Finding the Third Proportional to 227,539.13 and 495,902.25

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Solution

The third proportional to 227,539.13 and 495,902.25 is: 1,080,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,539.13 : 495,902.25 = 495,902.25 : x
  2. Step 2: Convert to fraction form
    227,539.13/495,902.25 = 495,902.25/x
  3. Step 3: Cross multiply
    227,539.13x = 495,902.25 × 495,902.25
  4. Step 4: Simplify right side
    227,539.13x = 245,919,041,555.06
  5. Step 5: Solve for x
    x = 245,919,041,555.06/227,539.13
  6. Step 6: Final answer
    x = 1,080,776.95

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Why These Related Problems?

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