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Finding the Third Proportional to 624.75 and 829.03

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Solution

The third proportional to 624.75 and 829.03 is: 1,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 829.03 = 829.03 : x
  2. Step 2: Convert to fraction form
    624.75/829.03 = 829.03/x
  3. Step 3: Cross multiply
    624.75x = 829.03 × 829.03
  4. Step 4: Simplify right side
    624.75x = 687,292.81
  5. Step 5: Solve for x
    x = 687,292.81/624.75
  6. Step 6: Final answer
    x = 1,100.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.