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Finding the Third Proportional to 472,761 and 709,625.25

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Solution

The third proportional to 472,761 and 709,625.25 is: 1,065,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,761 : 709,625.25 = 709,625.25 : x
  2. Step 2: Convert to fraction form
    472,761/709,625.25 = 709,625.25/x
  3. Step 3: Cross multiply
    472,761x = 709,625.25 × 709,625.25
  4. Step 4: Simplify right side
    472,761x = 503,567,995,437.56
  5. Step 5: Solve for x
    x = 503,567,995,437.56/472,761
  6. Step 6: Final answer
    x = 1,065,163.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.