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Finding the Third Proportional to 447,264 and 894,158

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Solution

The third proportional to 447,264 and 894,158 is: 1,787,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,264 : 894,158 = 894,158 : x
  2. Step 2: Convert to fraction form
    447,264/894,158 = 894,158/x
  3. Step 3: Cross multiply
    447,264x = 894,158 × 894,158
  4. Step 4: Simplify right side
    447,264x = 799,518,528,964
  5. Step 5: Solve for x
    x = 799,518,528,964/447,264
  6. Step 6: Final answer
    x = 1,787,576.31

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.