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Finding the Third Proportional to 227,511 and 495,154.13

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Solution

The third proportional to 227,511 and 495,154.13 is: 1,077,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,511 : 495,154.13 = 495,154.13 : x
  2. Step 2: Convert to fraction form
    227,511/495,154.13 = 495,154.13/x
  3. Step 3: Cross multiply
    227,511x = 495,154.13 × 495,154.13
  4. Step 4: Simplify right side
    227,511x = 245,177,607,504.52
  5. Step 5: Solve for x
    x = 245,177,607,504.52/227,511
  6. Step 6: Final answer
    x = 1,077,651.66

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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.