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Finding the Third Proportional to 226,296 and 487,656

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Solution

The third proportional to 226,296 and 487,656 is: 1,050,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,296 : 487,656 = 487,656 : x
  2. Step 2: Convert to fraction form
    226,296/487,656 = 487,656/x
  3. Step 3: Cross multiply
    226,296x = 487,656 × 487,656
  4. Step 4: Simplify right side
    226,296x = 237,808,374,336
  5. Step 5: Solve for x
    x = 237,808,374,336/226,296
  6. Step 6: Final answer
    x = 1,050,873.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.