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Finding the Third Proportional to 602,001.75 and 825,498

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Solution

The third proportional to 602,001.75 and 825,498 is: 1,131,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,001.75 : 825,498 = 825,498 : x
  2. Step 2: Convert to fraction form
    602,001.75/825,498 = 825,498/x
  3. Step 3: Cross multiply
    602,001.75x = 825,498 × 825,498
  4. Step 4: Simplify right side
    602,001.75x = 681,446,948,004
  5. Step 5: Solve for x
    x = 681,446,948,004/602,001.75
  6. Step 6: Final answer
    x = 1,131,968.38

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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.