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Finding the Third Proportional to 218,966 and 473,914

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Solution

The third proportional to 218,966 and 473,914 is: 1,025,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,966 : 473,914 = 473,914 : x
  2. Step 2: Convert to fraction form
    218,966/473,914 = 473,914/x
  3. Step 3: Cross multiply
    218,966x = 473,914 × 473,914
  4. Step 4: Simplify right side
    218,966x = 224,594,479,396
  5. Step 5: Solve for x
    x = 224,594,479,396/218,966
  6. Step 6: Final answer
    x = 1,025,704.81

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Why These Related Problems?

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