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Finding the Third Proportional to 401,844 and 547,233

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Solution

The third proportional to 401,844 and 547,233 is: 745,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,844 : 547,233 = 547,233 : x
  2. Step 2: Convert to fraction form
    401,844/547,233 = 547,233/x
  3. Step 3: Cross multiply
    401,844x = 547,233 × 547,233
  4. Step 4: Simplify right side
    401,844x = 299,463,956,289
  5. Step 5: Solve for x
    x = 299,463,956,289/401,844
  6. Step 6: Final answer
    x = 745,224.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.