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Finding the Third Proportional to 326,261.25 and 722,508.75

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Solution

The third proportional to 326,261.25 and 722,508.75 is: 1,600,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,261.25 : 722,508.75 = 722,508.75 : x
  2. Step 2: Convert to fraction form
    326,261.25/722,508.75 = 722,508.75/x
  3. Step 3: Cross multiply
    326,261.25x = 722,508.75 × 722,508.75
  4. Step 4: Simplify right side
    326,261.25x = 522,018,893,826.56
  5. Step 5: Solve for x
    x = 522,018,893,826.56/326,261.25
  6. Step 6: Final answer
    x = 1,600,002.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.