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Finding the Third Proportional to 490,727 and 695,901

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Solution

The third proportional to 490,727 and 695,901 is: 986,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,727 : 695,901 = 695,901 : x
  2. Step 2: Convert to fraction form
    490,727/695,901 = 695,901/x
  3. Step 3: Cross multiply
    490,727x = 695,901 × 695,901
  4. Step 4: Simplify right side
    490,727x = 484,278,201,801
  5. Step 5: Solve for x
    x = 484,278,201,801/490,727
  6. Step 6: Final answer
    x = 986,858.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.