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Finding the Third Proportional to 244,404 and 512,169

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Solution

The third proportional to 244,404 and 512,169 is: 1,073,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,404 : 512,169 = 512,169 : x
  2. Step 2: Convert to fraction form
    244,404/512,169 = 512,169/x
  3. Step 3: Cross multiply
    244,404x = 512,169 × 512,169
  4. Step 4: Simplify right side
    244,404x = 262,317,084,561
  5. Step 5: Solve for x
    x = 262,317,084,561/244,404
  6. Step 6: Final answer
    x = 1,073,292.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.