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Finding the Third Proportional to 323,808 and 482,388

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Solution

The third proportional to 323,808 and 482,388 is: 718,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,808 : 482,388 = 482,388 : x
  2. Step 2: Convert to fraction form
    323,808/482,388 = 482,388/x
  3. Step 3: Cross multiply
    323,808x = 482,388 × 482,388
  4. Step 4: Simplify right side
    323,808x = 232,698,182,544
  5. Step 5: Solve for x
    x = 232,698,182,544/323,808
  6. Step 6: Final answer
    x = 718,630.12

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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.