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Finding the Third Proportional to 548,291 and 860,304

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Solution

The third proportional to 548,291 and 860,304 is: 1,349,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,291 : 860,304 = 860,304 : x
  2. Step 2: Convert to fraction form
    548,291/860,304 = 860,304/x
  3. Step 3: Cross multiply
    548,291x = 860,304 × 860,304
  4. Step 4: Simplify right side
    548,291x = 740,122,972,416
  5. Step 5: Solve for x
    x = 740,122,972,416/548,291
  6. Step 6: Final answer
    x = 1,349,872.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.