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Finding the Third Proportional to 447,768 and 752,004

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Solution

The third proportional to 447,768 and 752,004 is: 1,262,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,768 : 752,004 = 752,004 : x
  2. Step 2: Convert to fraction form
    447,768/752,004 = 752,004/x
  3. Step 3: Cross multiply
    447,768x = 752,004 × 752,004
  4. Step 4: Simplify right side
    447,768x = 565,510,016,016
  5. Step 5: Solve for x
    x = 565,510,016,016/447,768
  6. Step 6: Final answer
    x = 1,262,953.17

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.