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Finding the Third Proportional to 546,340.50 and 827,129.25

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Solution

The third proportional to 546,340.50 and 827,129.25 is: 1,252,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,340.50 : 827,129.25 = 827,129.25 : x
  2. Step 2: Convert to fraction form
    546,340.50/827,129.25 = 827,129.25/x
  3. Step 3: Cross multiply
    546,340.50x = 827,129.25 × 827,129.25
  4. Step 4: Simplify right side
    546,340.50x = 684,142,796,205.56
  5. Step 5: Solve for x
    x = 684,142,796,205.56/546,340.50
  6. Step 6: Final answer
    x = 1,252,227.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.