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Finding the Third Proportional to 276,027.25 and 415,422.50

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Solution

The third proportional to 276,027.25 and 415,422.50 is: 625,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,027.25 : 415,422.50 = 415,422.50 : x
  2. Step 2: Convert to fraction form
    276,027.25/415,422.50 = 415,422.50/x
  3. Step 3: Cross multiply
    276,027.25x = 415,422.50 × 415,422.50
  4. Step 4: Simplify right side
    276,027.25x = 172,575,853,506.25
  5. Step 5: Solve for x
    x = 172,575,853,506.25/276,027.25
  6. Step 6: Final answer
    x = 625,213.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.