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Finding the Third Proportional to 502.29 and 1,076.73

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Solution

The third proportional to 502.29 and 1,076.73 is: 2,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.29 : 1,076.73 = 1,076.73 : x
  2. Step 2: Convert to fraction form
    502.29/1,076.73 = 1,076.73/x
  3. Step 3: Cross multiply
    502.29x = 1,076.73 × 1,076.73
  4. Step 4: Simplify right side
    502.29x = 1,159,348.50
  5. Step 5: Solve for x
    x = 1,159,348.50/502.29
  6. Step 6: Final answer
    x = 2,308.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.