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Finding the Third Proportional to 450,800 and 697,662

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Solution

The third proportional to 450,800 and 697,662 is: 1,079,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,800 : 697,662 = 697,662 : x
  2. Step 2: Convert to fraction form
    450,800/697,662 = 697,662/x
  3. Step 3: Cross multiply
    450,800x = 697,662 × 697,662
  4. Step 4: Simplify right side
    450,800x = 486,732,266,244
  5. Step 5: Solve for x
    x = 486,732,266,244/450,800
  6. Step 6: Final answer
    x = 1,079,707.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.