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Finding the Third Proportional to 228,969 and 496,073

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Solution

The third proportional to 228,969 and 496,073 is: 1,074,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 496,073 = 496,073 : x
  2. Step 2: Convert to fraction form
    228,969/496,073 = 496,073/x
  3. Step 3: Cross multiply
    228,969x = 496,073 × 496,073
  4. Step 4: Simplify right side
    228,969x = 246,088,421,329
  5. Step 5: Solve for x
    x = 246,088,421,329/228,969
  6. Step 6: Final answer
    x = 1,074,767.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.