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Finding the Third Proportional to 202,494.50 and 468,778

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Solution

The third proportional to 202,494.50 and 468,778 is: 1,085,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,494.50 : 468,778 = 468,778 : x
  2. Step 2: Convert to fraction form
    202,494.50/468,778 = 468,778/x
  3. Step 3: Cross multiply
    202,494.50x = 468,778 × 468,778
  4. Step 4: Simplify right side
    202,494.50x = 219,752,813,284
  5. Step 5: Solve for x
    x = 219,752,813,284/202,494.50
  6. Step 6: Final answer
    x = 1,085,228.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.