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Finding the Third Proportional to 247,890 and 510,456

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Solution

The third proportional to 247,890 and 510,456 is: 1,051,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,890 : 510,456 = 510,456 : x
  2. Step 2: Convert to fraction form
    247,890/510,456 = 510,456/x
  3. Step 3: Cross multiply
    247,890x = 510,456 × 510,456
  4. Step 4: Simplify right side
    247,890x = 260,565,327,936
  5. Step 5: Solve for x
    x = 260,565,327,936/247,890
  6. Step 6: Final answer
    x = 1,051,132.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.