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Finding the Third Proportional to 447,964 and 967,244.50

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Solution

The third proportional to 447,964 and 967,244.50 is: 2,088,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,964 : 967,244.50 = 967,244.50 : x
  2. Step 2: Convert to fraction form
    447,964/967,244.50 = 967,244.50/x
  3. Step 3: Cross multiply
    447,964x = 967,244.50 × 967,244.50
  4. Step 4: Simplify right side
    447,964x = 935,561,922,780.25
  5. Step 5: Solve for x
    x = 935,561,922,780.25/447,964
  6. Step 6: Final answer
    x = 2,088,475.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.