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Finding the Third Proportional to 534,024.75 and 801,143.25

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Solution

The third proportional to 534,024.75 and 801,143.25 is: 1,201,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,024.75 : 801,143.25 = 801,143.25 : x
  2. Step 2: Convert to fraction form
    534,024.75/801,143.25 = 801,143.25/x
  3. Step 3: Cross multiply
    534,024.75x = 801,143.25 × 801,143.25
  4. Step 4: Simplify right side
    534,024.75x = 641,830,507,020.56
  5. Step 5: Solve for x
    x = 641,830,507,020.56/534,024.75
  6. Step 6: Final answer
    x = 1,201,874.08

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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.