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Finding the Third Proportional to 553,184.25 and 1,206,900.75

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Solution

The third proportional to 553,184.25 and 1,206,900.75 is: 2,633,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,184.25 : 1,206,900.75 = 1,206,900.75 : x
  2. Step 2: Convert to fraction form
    553,184.25/1,206,900.75 = 1,206,900.75/x
  3. Step 3: Cross multiply
    553,184.25x = 1,206,900.75 × 1,206,900.75
  4. Step 4: Simplify right side
    553,184.25x = 1,456,609,420,350.56
  5. Step 5: Solve for x
    x = 1,456,609,420,350.56/553,184.25
  6. Step 6: Final answer
    x = 2,633,136.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.