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Finding the Third Proportional to 534,036 and 801,159

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Solution

The third proportional to 534,036 and 801,159 is: 1,201,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,036 : 801,159 = 801,159 : x
  2. Step 2: Convert to fraction form
    534,036/801,159 = 801,159/x
  3. Step 3: Cross multiply
    534,036x = 801,159 × 801,159
  4. Step 4: Simplify right side
    534,036x = 641,855,743,281
  5. Step 5: Solve for x
    x = 641,855,743,281/534,036
  6. Step 6: Final answer
    x = 1,201,896.02

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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.