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Finding the Third Proportional to 218,775 and 452,733

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Solution

The third proportional to 218,775 and 452,733 is: 936,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,775 : 452,733 = 452,733 : x
  2. Step 2: Convert to fraction form
    218,775/452,733 = 452,733/x
  3. Step 3: Cross multiply
    218,775x = 452,733 × 452,733
  4. Step 4: Simplify right side
    218,775x = 204,967,169,289
  5. Step 5: Solve for x
    x = 204,967,169,289/218,775
  6. Step 6: Final answer
    x = 936,885.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.