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Finding the Third Proportional to 454.31 and 515.06

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Solution

The third proportional to 454.31 and 515.06 is: 583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.31 : 515.06 = 515.06 : x
  2. Step 2: Convert to fraction form
    454.31/515.06 = 515.06/x
  3. Step 3: Cross multiply
    454.31x = 515.06 × 515.06
  4. Step 4: Simplify right side
    454.31x = 265,289.38
  5. Step 5: Solve for x
    x = 265,289.38/454.31
  6. Step 6: Final answer
    x = 583.94

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.