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Finding the Third Proportional to 602,133.75 and 825,658.31

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Solution

The third proportional to 602,133.75 and 825,658.31 is: 1,132,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,133.75 : 825,658.31 = 825,658.31 : x
  2. Step 2: Convert to fraction form
    602,133.75/825,658.31 = 825,658.31/x
  3. Step 3: Cross multiply
    602,133.75x = 825,658.31 × 825,658.31
  4. Step 4: Simplify right side
    602,133.75x = 681,711,649,000.35
  5. Step 5: Solve for x
    x = 681,711,649,000.35/602,133.75
  6. Step 6: Final answer
    x = 1,132,159.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.