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Finding the Third Proportional to 548,714.88 and 844,472.46

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Solution

The third proportional to 548,714.88 and 844,472.46 is: 1,299,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,714.88 : 844,472.46 = 844,472.46 : x
  2. Step 2: Convert to fraction form
    548,714.88/844,472.46 = 844,472.46/x
  3. Step 3: Cross multiply
    548,714.88x = 844,472.46 × 844,472.46
  4. Step 4: Simplify right side
    548,714.88x = 713,133,737,281.84
  5. Step 5: Solve for x
    x = 713,133,737,281.84/548,714.88
  6. Step 6: Final answer
    x = 1,299,643.51

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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.