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Finding the Third Proportional to 534,040 and 801,166

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Solution

The third proportional to 534,040 and 801,166 is: 1,201,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,040 : 801,166 = 801,166 : x
  2. Step 2: Convert to fraction form
    534,040/801,166 = 801,166/x
  3. Step 3: Cross multiply
    534,040x = 801,166 × 801,166
  4. Step 4: Simplify right side
    534,040x = 641,866,959,556
  5. Step 5: Solve for x
    x = 641,866,959,556/534,040
  6. Step 6: Final answer
    x = 1,201,908.02

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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.