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Finding the Third Proportional to 548,752.50 and 844,524

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Solution

The third proportional to 548,752.50 and 844,524 is: 1,299,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,752.50 : 844,524 = 844,524 : x
  2. Step 2: Convert to fraction form
    548,752.50/844,524 = 844,524/x
  3. Step 3: Cross multiply
    548,752.50x = 844,524 × 844,524
  4. Step 4: Simplify right side
    548,752.50x = 713,220,786,576
  5. Step 5: Solve for x
    x = 713,220,786,576/548,752.50
  6. Step 6: Final answer
    x = 1,299,713.05

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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.