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Finding the Third Proportional to 202,794.75 and 469,458

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Solution

The third proportional to 202,794.75 and 469,458 is: 1,086,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,794.75 : 469,458 = 469,458 : x
  2. Step 2: Convert to fraction form
    202,794.75/469,458 = 469,458/x
  3. Step 3: Cross multiply
    202,794.75x = 469,458 × 469,458
  4. Step 4: Simplify right side
    202,794.75x = 220,390,813,764
  5. Step 5: Solve for x
    x = 220,390,813,764/202,794.75
  6. Step 6: Final answer
    x = 1,086,767.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.