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Finding the Third Proportional to 232,804.13 and 496,545.19

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Solution

The third proportional to 232,804.13 and 496,545.19 is: 1,059,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,804.13 : 496,545.19 = 496,545.19 : x
  2. Step 2: Convert to fraction form
    232,804.13/496,545.19 = 496,545.19/x
  3. Step 3: Cross multiply
    232,804.13x = 496,545.19 × 496,545.19
  4. Step 4: Simplify right side
    232,804.13x = 246,557,123,229.41
  5. Step 5: Solve for x
    x = 246,557,123,229.41/232,804.13
  6. Step 6: Final answer
    x = 1,059,075.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.