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Finding the Third Proportional to 223,823 and 480,775

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Solution

The third proportional to 223,823 and 480,775 is: 1,032,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,823 : 480,775 = 480,775 : x
  2. Step 2: Convert to fraction form
    223,823/480,775 = 480,775/x
  3. Step 3: Cross multiply
    223,823x = 480,775 × 480,775
  4. Step 4: Simplify right side
    223,823x = 231,144,600,625
  5. Step 5: Solve for x
    x = 231,144,600,625/223,823
  6. Step 6: Final answer
    x = 1,032,711.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.