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Finding the Third Proportional to 602,001 and 825,493.50

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Solution

The third proportional to 602,001 and 825,493.50 is: 1,131,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,001 : 825,493.50 = 825,493.50 : x
  2. Step 2: Convert to fraction form
    602,001/825,493.50 = 825,493.50/x
  3. Step 3: Cross multiply
    602,001x = 825,493.50 × 825,493.50
  4. Step 4: Simplify right side
    602,001x = 681,439,518,542.25
  5. Step 5: Solve for x
    x = 681,439,518,542.25/602,001
  6. Step 6: Final answer
    x = 1,131,957.45

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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.