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Finding the Third Proportional to 218,682 and 473,634

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Solution

The third proportional to 218,682 and 473,634 is: 1,025,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,682 : 473,634 = 473,634 : x
  2. Step 2: Convert to fraction form
    218,682/473,634 = 473,634/x
  3. Step 3: Cross multiply
    218,682x = 473,634 × 473,634
  4. Step 4: Simplify right side
    218,682x = 224,329,165,956
  5. Step 5: Solve for x
    x = 224,329,165,956/218,682
  6. Step 6: Final answer
    x = 1,025,823.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.