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Finding the Third Proportional to 472,841 and 709,734

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Solution

The third proportional to 472,841 and 709,734 is: 1,065,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,841 : 709,734 = 709,734 : x
  2. Step 2: Convert to fraction form
    472,841/709,734 = 709,734/x
  3. Step 3: Cross multiply
    472,841x = 709,734 × 709,734
  4. Step 4: Simplify right side
    472,841x = 503,722,350,756
  5. Step 5: Solve for x
    x = 503,722,350,756/472,841
  6. Step 6: Final answer
    x = 1,065,310.22

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