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Finding the Third Proportional to 544,020.50 and 1,132,195.25

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Solution

The third proportional to 544,020.50 and 1,132,195.25 is: 2,356,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,020.50 : 1,132,195.25 = 1,132,195.25 : x
  2. Step 2: Convert to fraction form
    544,020.50/1,132,195.25 = 1,132,195.25/x
  3. Step 3: Cross multiply
    544,020.50x = 1,132,195.25 × 1,132,195.25
  4. Step 4: Simplify right side
    544,020.50x = 1,281,866,084,122.56
  5. Step 5: Solve for x
    x = 1,281,866,084,122.56/544,020.50
  6. Step 6: Final answer
    x = 2,356,282.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.