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Finding the Third Proportional to 755,169.75 and 1,143,722.25

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Solution

The third proportional to 755,169.75 and 1,143,722.25 is: 1,732,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,169.75 : 1,143,722.25 = 1,143,722.25 : x
  2. Step 2: Convert to fraction form
    755,169.75/1,143,722.25 = 1,143,722.25/x
  3. Step 3: Cross multiply
    755,169.75x = 1,143,722.25 × 1,143,722.25
  4. Step 4: Simplify right side
    755,169.75x = 1,308,100,585,145.06
  5. Step 5: Solve for x
    x = 1,308,100,585,145.06/755,169.75
  6. Step 6: Final answer
    x = 1,732,194.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.