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Finding the Third Proportional to 356,837 and 521,859

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Solution

The third proportional to 356,837 and 521,859 is: 763,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,837 : 521,859 = 521,859 : x
  2. Step 2: Convert to fraction form
    356,837/521,859 = 521,859/x
  3. Step 3: Cross multiply
    356,837x = 521,859 × 521,859
  4. Step 4: Simplify right side
    356,837x = 272,336,815,881
  5. Step 5: Solve for x
    x = 272,336,815,881/356,837
  6. Step 6: Final answer
    x = 763,196.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.