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Finding the Third Proportional to 262,257.75 and 575,910

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Solution

The third proportional to 262,257.75 and 575,910 is: 1,264,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,257.75 : 575,910 = 575,910 : x
  2. Step 2: Convert to fraction form
    262,257.75/575,910 = 575,910/x
  3. Step 3: Cross multiply
    262,257.75x = 575,910 × 575,910
  4. Step 4: Simplify right side
    262,257.75x = 331,672,328,100
  5. Step 5: Solve for x
    x = 331,672,328,100/262,257.75
  6. Step 6: Final answer
    x = 1,264,680.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.