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Finding the Third Proportional to 602,356.50 and 825,957

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Solution

The third proportional to 602,356.50 and 825,957 is: 1,132,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,356.50 : 825,957 = 825,957 : x
  2. Step 2: Convert to fraction form
    602,356.50/825,957 = 825,957/x
  3. Step 3: Cross multiply
    602,356.50x = 825,957 × 825,957
  4. Step 4: Simplify right side
    602,356.50x = 682,204,965,849
  5. Step 5: Solve for x
    x = 682,204,965,849/602,356.50
  6. Step 6: Final answer
    x = 1,132,560.15

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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.