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Finding the Third Proportional to 602,058.75 and 825,586.50

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Solution

The third proportional to 602,058.75 and 825,586.50 is: 1,132,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,058.75 : 825,586.50 = 825,586.50 : x
  2. Step 2: Convert to fraction form
    602,058.75/825,586.50 = 825,586.50/x
  3. Step 3: Cross multiply
    602,058.75x = 825,586.50 × 825,586.50
  4. Step 4: Simplify right side
    602,058.75x = 681,593,068,982.25
  5. Step 5: Solve for x
    x = 681,593,068,982.25/602,058.75
  6. Step 6: Final answer
    x = 1,132,103.92

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Why These Related Problems?

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