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Finding the Third Proportional to 226,531.13 and 496,656

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Solution

The third proportional to 226,531.13 and 496,656 is: 1,088,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,531.13 : 496,656 = 496,656 : x
  2. Step 2: Convert to fraction form
    226,531.13/496,656 = 496,656/x
  3. Step 3: Cross multiply
    226,531.13x = 496,656 × 496,656
  4. Step 4: Simplify right side
    226,531.13x = 246,667,182,336
  5. Step 5: Solve for x
    x = 246,667,182,336/226,531.13
  6. Step 6: Final answer
    x = 1,088,888.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.