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Finding the Third Proportional to 288,765 and 444,424

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Solution

The third proportional to 288,765 and 444,424 is: 683,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,765 : 444,424 = 444,424 : x
  2. Step 2: Convert to fraction form
    288,765/444,424 = 444,424/x
  3. Step 3: Cross multiply
    288,765x = 444,424 × 444,424
  4. Step 4: Simplify right side
    288,765x = 197,512,691,776
  5. Step 5: Solve for x
    x = 197,512,691,776/288,765
  6. Step 6: Final answer
    x = 683,991.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.