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Finding the Third Proportional to 447,765 and 983,494.88

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Solution

The third proportional to 447,765 and 983,494.88 is: 2,160,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,765 : 983,494.88 = 983,494.88 : x
  2. Step 2: Convert to fraction form
    447,765/983,494.88 = 983,494.88/x
  3. Step 3: Cross multiply
    447,765x = 983,494.88 × 983,494.88
  4. Step 4: Simplify right side
    447,765x = 967,262,169,151.27
  5. Step 5: Solve for x
    x = 967,262,169,151.27/447,765
  6. Step 6: Final answer
    x = 2,160,200.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.