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Finding the Third Proportional to 386,467 and 613,289

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Solution

The third proportional to 386,467 and 613,289 is: 973,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,467 : 613,289 = 613,289 : x
  2. Step 2: Convert to fraction form
    386,467/613,289 = 613,289/x
  3. Step 3: Cross multiply
    386,467x = 613,289 × 613,289
  4. Step 4: Simplify right side
    386,467x = 376,123,397,521
  5. Step 5: Solve for x
    x = 376,123,397,521/386,467
  6. Step 6: Final answer
    x = 973,235.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.