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Finding the Third Proportional to 205,612 and 475,964

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Solution

The third proportional to 205,612 and 475,964 is: 1,101,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,612 : 475,964 = 475,964 : x
  2. Step 2: Convert to fraction form
    205,612/475,964 = 475,964/x
  3. Step 3: Cross multiply
    205,612x = 475,964 × 475,964
  4. Step 4: Simplify right side
    205,612x = 226,541,729,296
  5. Step 5: Solve for x
    x = 226,541,729,296/205,612
  6. Step 6: Final answer
    x = 1,101,792.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.