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Finding the Third Proportional to 265,170 and 576,980

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Solution

The third proportional to 265,170 and 576,980 is: 1,255,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,170 : 576,980 = 576,980 : x
  2. Step 2: Convert to fraction form
    265,170/576,980 = 576,980/x
  3. Step 3: Cross multiply
    265,170x = 576,980 × 576,980
  4. Step 4: Simplify right side
    265,170x = 332,905,920,400
  5. Step 5: Solve for x
    x = 332,905,920,400/265,170
  6. Step 6: Final answer
    x = 1,255,443.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.