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Finding the Third Proportional to 401,533 and 588,893

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Solution

The third proportional to 401,533 and 588,893 is: 863,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,533 : 588,893 = 588,893 : x
  2. Step 2: Convert to fraction form
    401,533/588,893 = 588,893/x
  3. Step 3: Cross multiply
    401,533x = 588,893 × 588,893
  4. Step 4: Simplify right side
    401,533x = 346,794,965,449
  5. Step 5: Solve for x
    x = 346,794,965,449/401,533
  6. Step 6: Final answer
    x = 863,677.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.