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Finding the Third Proportional to 248,900 and 382,792

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Solution

The third proportional to 248,900 and 382,792 is: 588,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,900 : 382,792 = 382,792 : x
  2. Step 2: Convert to fraction form
    248,900/382,792 = 382,792/x
  3. Step 3: Cross multiply
    248,900x = 382,792 × 382,792
  4. Step 4: Simplify right side
    248,900x = 146,529,715,264
  5. Step 5: Solve for x
    x = 146,529,715,264/248,900
  6. Step 6: Final answer
    x = 588,709.18

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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.