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Finding the Third Proportional to 467,150.25 and 721,745.25

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Solution

The third proportional to 467,150.25 and 721,745.25 is: 1,115,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,150.25 : 721,745.25 = 721,745.25 : x
  2. Step 2: Convert to fraction form
    467,150.25/721,745.25 = 721,745.25/x
  3. Step 3: Cross multiply
    467,150.25x = 721,745.25 × 721,745.25
  4. Step 4: Simplify right side
    467,150.25x = 520,916,205,897.56
  5. Step 5: Solve for x
    x = 520,916,205,897.56/467,150.25
  6. Step 6: Final answer
    x = 1,115,093.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.