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Finding the Third Proportional to 624.38 and 970.59

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Solution

The third proportional to 624.38 and 970.59 is: 1,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.38 : 970.59 = 970.59 : x
  2. Step 2: Convert to fraction form
    624.38/970.59 = 970.59/x
  3. Step 3: Cross multiply
    624.38x = 970.59 × 970.59
  4. Step 4: Simplify right side
    624.38x = 942,052.23
  5. Step 5: Solve for x
    x = 942,052.23/624.38
  6. Step 6: Final answer
    x = 1,508.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.