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Finding the Third Proportional to 541,004 and 844,259

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Solution

The third proportional to 541,004 and 844,259 is: 1,317,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,004 : 844,259 = 844,259 : x
  2. Step 2: Convert to fraction form
    541,004/844,259 = 844,259/x
  3. Step 3: Cross multiply
    541,004x = 844,259 × 844,259
  4. Step 4: Simplify right side
    541,004x = 712,773,259,081
  5. Step 5: Solve for x
    x = 712,773,259,081/541,004
  6. Step 6: Final answer
    x = 1,317,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.