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Finding the Third Proportional to 410.06 and 624.56

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Solution

The third proportional to 410.06 and 624.56 is: 951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 624.56 = 624.56 : x
  2. Step 2: Convert to fraction form
    410.06/624.56 = 624.56/x
  3. Step 3: Cross multiply
    410.06x = 624.56 × 624.56
  4. Step 4: Simplify right side
    410.06x = 390,078.32
  5. Step 5: Solve for x
    x = 390,078.32/410.06
  6. Step 6: Final answer
    x = 951.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.