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Finding the Third Proportional to 541,417.50 and 810,182.25

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Solution

The third proportional to 541,417.50 and 810,182.25 is: 1,212,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,417.50 : 810,182.25 = 810,182.25 : x
  2. Step 2: Convert to fraction form
    541,417.50/810,182.25 = 810,182.25/x
  3. Step 3: Cross multiply
    541,417.50x = 810,182.25 × 810,182.25
  4. Step 4: Simplify right side
    541,417.50x = 656,395,278,215.06
  5. Step 5: Solve for x
    x = 656,395,278,215.06/541,417.50
  6. Step 6: Final answer
    x = 1,212,364.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.