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Finding the Third Proportional to 226,926.75 and 488,865

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Solution

The third proportional to 226,926.75 and 488,865 is: 1,053,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,926.75 : 488,865 = 488,865 : x
  2. Step 2: Convert to fraction form
    226,926.75/488,865 = 488,865/x
  3. Step 3: Cross multiply
    226,926.75x = 488,865 × 488,865
  4. Step 4: Simplify right side
    226,926.75x = 238,988,988,225
  5. Step 5: Solve for x
    x = 238,988,988,225/226,926.75
  6. Step 6: Final answer
    x = 1,053,154.77

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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.