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Finding the Third Proportional to 248,633 and 382,388

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Solution

The third proportional to 248,633 and 382,388 is: 588,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,633 : 382,388 = 382,388 : x
  2. Step 2: Convert to fraction form
    248,633/382,388 = 382,388/x
  3. Step 3: Cross multiply
    248,633x = 382,388 × 382,388
  4. Step 4: Simplify right side
    248,633x = 146,220,582,544
  5. Step 5: Solve for x
    x = 146,220,582,544/248,633
  6. Step 6: Final answer
    x = 588,098.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.