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Finding the Third Proportional to 276,026.63 and 415,422.56

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Solution

The third proportional to 276,026.63 and 415,422.56 is: 625,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,026.63 : 415,422.56 = 415,422.56 : x
  2. Step 2: Convert to fraction form
    276,026.63/415,422.56 = 415,422.56/x
  3. Step 3: Cross multiply
    276,026.63x = 415,422.56 × 415,422.56
  4. Step 4: Simplify right side
    276,026.63x = 172,575,905,434.07
  5. Step 5: Solve for x
    x = 172,575,905,434.07/276,026.63
  6. Step 6: Final answer
    x = 625,214.71

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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.