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Finding the Third Proportional to 548,723 and 844,484

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Solution

The third proportional to 548,723 and 844,484 is: 1,299,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,723 : 844,484 = 844,484 : x
  2. Step 2: Convert to fraction form
    548,723/844,484 = 844,484/x
  3. Step 3: Cross multiply
    548,723x = 844,484 × 844,484
  4. Step 4: Simplify right side
    548,723x = 713,153,226,256
  5. Step 5: Solve for x
    x = 713,153,226,256/548,723
  6. Step 6: Final answer
    x = 1,299,659.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.