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Finding the Third Proportional to 541,153.76 and 1,176,500.97

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Solution

The third proportional to 541,153.76 and 1,176,500.97 is: 2,557,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,153.76 : 1,176,500.97 = 1,176,500.97 : x
  2. Step 2: Convert to fraction form
    541,153.76/1,176,500.97 = 1,176,500.97/x
  3. Step 3: Cross multiply
    541,153.76x = 1,176,500.97 × 1,176,500.97
  4. Step 4: Simplify right side
    541,153.76x = 1,384,154,534,065.34
  5. Step 5: Solve for x
    x = 1,384,154,534,065.34/541,153.76
  6. Step 6: Final answer
    x = 2,557,784.20

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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.