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Finding the Third Proportional to 541,175 and 1,176,542.50

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Solution

The third proportional to 541,175 and 1,176,542.50 is: 2,557,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,175 : 1,176,542.50 = 1,176,542.50 : x
  2. Step 2: Convert to fraction form
    541,175/1,176,542.50 = 1,176,542.50/x
  3. Step 3: Cross multiply
    541,175x = 1,176,542.50 × 1,176,542.50
  4. Step 4: Simplify right side
    541,175x = 1,384,252,254,306.25
  5. Step 5: Solve for x
    x = 1,384,252,254,306.25/541,175
  6. Step 6: Final answer
    x = 2,557,864.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.