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Finding the Third Proportional to 624.25 and 955.38

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Solution

The third proportional to 624.25 and 955.38 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 955.38 = 955.38 : x
  2. Step 2: Convert to fraction form
    624.25/955.38 = 955.38/x
  3. Step 3: Cross multiply
    624.25x = 955.38 × 955.38
  4. Step 4: Simplify right side
    624.25x = 912,741.39
  5. Step 5: Solve for x
    x = 912,741.39/624.25
  6. Step 6: Final answer
    x = 1,462.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.