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Finding the Third Proportional to 544,396 and 801,042

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Solution

The third proportional to 544,396 and 801,042 is: 1,178,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,396 : 801,042 = 801,042 : x
  2. Step 2: Convert to fraction form
    544,396/801,042 = 801,042/x
  3. Step 3: Cross multiply
    544,396x = 801,042 × 801,042
  4. Step 4: Simplify right side
    544,396x = 641,668,285,764
  5. Step 5: Solve for x
    x = 641,668,285,764/544,396
  6. Step 6: Final answer
    x = 1,178,679.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.