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Finding the Third Proportional to 624.80 and 950.70

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Solution

The third proportional to 624.80 and 950.70 is: 1,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 950.70 = 950.70 : x
  2. Step 2: Convert to fraction form
    624.80/950.70 = 950.70/x
  3. Step 3: Cross multiply
    624.80x = 950.70 × 950.70
  4. Step 4: Simplify right side
    624.80x = 903,821.58
  5. Step 5: Solve for x
    x = 903,821.58/624.80
  6. Step 6: Final answer
    x = 1,446.58

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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.