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Finding the Third Proportional to 230,564 and 504,868

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Solution

The third proportional to 230,564 and 504,868 is: 1,105,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,564 : 504,868 = 504,868 : x
  2. Step 2: Convert to fraction form
    230,564/504,868 = 504,868/x
  3. Step 3: Cross multiply
    230,564x = 504,868 × 504,868
  4. Step 4: Simplify right side
    230,564x = 254,891,697,424
  5. Step 5: Solve for x
    x = 254,891,697,424/230,564
  6. Step 6: Final answer
    x = 1,105,513.86

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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.