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Finding the Third Proportional to 541,554 and 811,176.75

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Solution

The third proportional to 541,554 and 811,176.75 is: 1,215,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,554 : 811,176.75 = 811,176.75 : x
  2. Step 2: Convert to fraction form
    541,554/811,176.75 = 811,176.75/x
  3. Step 3: Cross multiply
    541,554x = 811,176.75 × 811,176.75
  4. Step 4: Simplify right side
    541,554x = 658,007,719,740.56
  5. Step 5: Solve for x
    x = 658,007,719,740.56/541,554
  6. Step 6: Final answer
    x = 1,215,036.21

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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.