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Finding the Third Proportional to 218,089 and 476,684

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Solution

The third proportional to 218,089 and 476,684 is: 1,041,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,089 : 476,684 = 476,684 : x
  2. Step 2: Convert to fraction form
    218,089/476,684 = 476,684/x
  3. Step 3: Cross multiply
    218,089x = 476,684 × 476,684
  4. Step 4: Simplify right side
    218,089x = 227,227,635,856
  5. Step 5: Solve for x
    x = 227,227,635,856/218,089
  6. Step 6: Final answer
    x = 1,041,903.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.