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Finding the Third Proportional to 226,378 and 474,787

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Solution

The third proportional to 226,378 and 474,787 is: 995,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,378 : 474,787 = 474,787 : x
  2. Step 2: Convert to fraction form
    226,378/474,787 = 474,787/x
  3. Step 3: Cross multiply
    226,378x = 474,787 × 474,787
  4. Step 4: Simplify right side
    226,378x = 225,422,695,369
  5. Step 5: Solve for x
    x = 225,422,695,369/226,378
  6. Step 6: Final answer
    x = 995,780.05

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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.