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Finding the Third Proportional to 288,961 and 444,787

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Solution

The third proportional to 288,961 and 444,787 is: 684,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,961 : 444,787 = 444,787 : x
  2. Step 2: Convert to fraction form
    288,961/444,787 = 444,787/x
  3. Step 3: Cross multiply
    288,961x = 444,787 × 444,787
  4. Step 4: Simplify right side
    288,961x = 197,835,475,369
  5. Step 5: Solve for x
    x = 197,835,475,369/288,961
  6. Step 6: Final answer
    x = 684,644.21

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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.