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Finding the Third Proportional to 548,256.75 and 822,382.13

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Solution

The third proportional to 548,256.75 and 822,382.13 is: 1,233,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,256.75 : 822,382.13 = 822,382.13 : x
  2. Step 2: Convert to fraction form
    548,256.75/822,382.13 = 822,382.13/x
  3. Step 3: Cross multiply
    548,256.75x = 822,382.13 × 822,382.13
  4. Step 4: Simplify right side
    548,256.75x = 676,312,359,519.52
  5. Step 5: Solve for x
    x = 676,312,359,519.52/548,256.75
  6. Step 6: Final answer
    x = 1,233,568.69

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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.