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Finding the Third Proportional to 541,385.25 and 756,867

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Solution

The third proportional to 541,385.25 and 756,867 is: 1,058,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,385.25 : 756,867 = 756,867 : x
  2. Step 2: Convert to fraction form
    541,385.25/756,867 = 756,867/x
  3. Step 3: Cross multiply
    541,385.25x = 756,867 × 756,867
  4. Step 4: Simplify right side
    541,385.25x = 572,847,655,689
  5. Step 5: Solve for x
    x = 572,847,655,689/541,385.25
  6. Step 6: Final answer
    x = 1,058,114.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.