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Finding the Third Proportional to 226,008 and 487,248

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Solution

The third proportional to 226,008 and 487,248 is: 1,050,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,008 : 487,248 = 487,248 : x
  2. Step 2: Convert to fraction form
    226,008/487,248 = 487,248/x
  3. Step 3: Cross multiply
    226,008x = 487,248 × 487,248
  4. Step 4: Simplify right side
    226,008x = 237,410,613,504
  5. Step 5: Solve for x
    x = 237,410,613,504/226,008
  6. Step 6: Final answer
    x = 1,050,452.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.