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Finding the Third Proportional to 356,864 and 521,895

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Solution

The third proportional to 356,864 and 521,895 is: 763,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,864 : 521,895 = 521,895 : x
  2. Step 2: Convert to fraction form
    356,864/521,895 = 521,895/x
  3. Step 3: Cross multiply
    356,864x = 521,895 × 521,895
  4. Step 4: Simplify right side
    356,864x = 272,374,391,025
  5. Step 5: Solve for x
    x = 272,374,391,025/356,864
  6. Step 6: Final answer
    x = 763,244.24

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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.