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Finding the Third Proportional to 541,728 and 827,020.13

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Solution

The third proportional to 541,728 and 827,020.13 is: 1,262,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728 : 827,020.13 = 827,020.13 : x
  2. Step 2: Convert to fraction form
    541,728/827,020.13 = 827,020.13/x
  3. Step 3: Cross multiply
    541,728x = 827,020.13 × 827,020.13
  4. Step 4: Simplify right side
    541,728x = 683,962,287,155.02
  5. Step 5: Solve for x
    x = 683,962,287,155.02/541,728
  6. Step 6: Final answer
    x = 1,262,556.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.