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Finding the Third Proportional to 323,796 and 482,364

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Solution

The third proportional to 323,796 and 482,364 is: 718,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,796 : 482,364 = 482,364 : x
  2. Step 2: Convert to fraction form
    323,796/482,364 = 482,364/x
  3. Step 3: Cross multiply
    323,796x = 482,364 × 482,364
  4. Step 4: Simplify right side
    323,796x = 232,675,028,496
  5. Step 5: Solve for x
    x = 232,675,028,496/323,796
  6. Step 6: Final answer
    x = 718,585.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.