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Finding the Third Proportional to 543,568 and 823,560

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Solution

The third proportional to 543,568 and 823,560 is: 1,247,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,568 : 823,560 = 823,560 : x
  2. Step 2: Convert to fraction form
    543,568/823,560 = 823,560/x
  3. Step 3: Cross multiply
    543,568x = 823,560 × 823,560
  4. Step 4: Simplify right side
    543,568x = 678,251,073,600
  5. Step 5: Solve for x
    x = 678,251,073,600/543,568
  6. Step 6: Final answer
    x = 1,247,775.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.