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Finding the Third Proportional to 179,444 and 377,479

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Solution

The third proportional to 179,444 and 377,479 is: 794,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,444 : 377,479 = 377,479 : x
  2. Step 2: Convert to fraction form
    179,444/377,479 = 377,479/x
  3. Step 3: Cross multiply
    179,444x = 377,479 × 377,479
  4. Step 4: Simplify right side
    179,444x = 142,490,395,441
  5. Step 5: Solve for x
    x = 142,490,395,441/179,444
  6. Step 6: Final answer
    x = 794,066.09

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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.