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Finding the Third Proportional to 548,299.13 and 822,448.69

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Solution

The third proportional to 548,299.13 and 822,448.69 is: 1,233,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,299.13 : 822,448.69 = 822,448.69 : x
  2. Step 2: Convert to fraction form
    548,299.13/822,448.69 = 822,448.69/x
  3. Step 3: Cross multiply
    548,299.13x = 822,448.69 × 822,448.69
  4. Step 4: Simplify right side
    548,299.13x = 676,421,843,570.47
  5. Step 5: Solve for x
    x = 676,421,843,570.47/548,299.13
  6. Step 6: Final answer
    x = 1,233,673.03

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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.