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Finding the Third Proportional to 226,358 and 491,646

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Solution

The third proportional to 226,358 and 491,646 is: 1,067,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,358 : 491,646 = 491,646 : x
  2. Step 2: Convert to fraction form
    226,358/491,646 = 491,646/x
  3. Step 3: Cross multiply
    226,358x = 491,646 × 491,646
  4. Step 4: Simplify right side
    226,358x = 241,715,789,316
  5. Step 5: Solve for x
    x = 241,715,789,316/226,358
  6. Step 6: Final answer
    x = 1,067,847.34

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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.