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Finding the Third Proportional to 602,060.50 and 825,591

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Solution

The third proportional to 602,060.50 and 825,591 is: 1,132,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,060.50 : 825,591 = 825,591 : x
  2. Step 2: Convert to fraction form
    602,060.50/825,591 = 825,591/x
  3. Step 3: Cross multiply
    602,060.50x = 825,591 × 825,591
  4. Step 4: Simplify right side
    602,060.50x = 681,600,499,281
  5. Step 5: Solve for x
    x = 681,600,499,281/602,060.50
  6. Step 6: Final answer
    x = 1,132,112.97

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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.