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Finding the Third Proportional to 226,924 and 487,544

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Solution

The third proportional to 226,924 and 487,544 is: 1,047,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,924 : 487,544 = 487,544 : x
  2. Step 2: Convert to fraction form
    226,924/487,544 = 487,544/x
  3. Step 3: Cross multiply
    226,924x = 487,544 × 487,544
  4. Step 4: Simplify right side
    226,924x = 237,699,151,936
  5. Step 5: Solve for x
    x = 237,699,151,936/226,924
  6. Step 6: Final answer
    x = 1,047,483.53

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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.