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Finding the Third Proportional to 373,259 and 566,801

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Solution

The third proportional to 373,259 and 566,801 is: 860,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,259 : 566,801 = 566,801 : x
  2. Step 2: Convert to fraction form
    373,259/566,801 = 566,801/x
  3. Step 3: Cross multiply
    373,259x = 566,801 × 566,801
  4. Step 4: Simplify right side
    373,259x = 321,263,373,601
  5. Step 5: Solve for x
    x = 321,263,373,601/373,259
  6. Step 6: Final answer
    x = 860,698.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.