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Finding the Third Proportional to 501,209.25 and 1,182,765.75

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Solution

The third proportional to 501,209.25 and 1,182,765.75 is: 2,791,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,209.25 : 1,182,765.75 = 1,182,765.75 : x
  2. Step 2: Convert to fraction form
    501,209.25/1,182,765.75 = 1,182,765.75/x
  3. Step 3: Cross multiply
    501,209.25x = 1,182,765.75 × 1,182,765.75
  4. Step 4: Simplify right side
    501,209.25x = 1,398,934,819,373.06
  5. Step 5: Solve for x
    x = 1,398,934,819,373.06/501,209.25
  6. Step 6: Final answer
    x = 2,791,119.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.