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Finding the Third Proportional to 546,790.50 and 820,176.75

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Solution

The third proportional to 546,790.50 and 820,176.75 is: 1,230,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,790.50 : 820,176.75 = 820,176.75 : x
  2. Step 2: Convert to fraction form
    546,790.50/820,176.75 = 820,176.75/x
  3. Step 3: Cross multiply
    546,790.50x = 820,176.75 × 820,176.75
  4. Step 4: Simplify right side
    546,790.50x = 672,689,901,240.56
  5. Step 5: Solve for x
    x = 672,689,901,240.56/546,790.50
  6. Step 6: Final answer
    x = 1,230,251.63

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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.