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Finding the Third Proportional to 248,066 and 394,246

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Solution

The third proportional to 248,066 and 394,246 is: 626,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,066 : 394,246 = 394,246 : x
  2. Step 2: Convert to fraction form
    248,066/394,246 = 394,246/x
  3. Step 3: Cross multiply
    248,066x = 394,246 × 394,246
  4. Step 4: Simplify right side
    248,066x = 155,429,908,516
  5. Step 5: Solve for x
    x = 155,429,908,516/248,066
  6. Step 6: Final answer
    x = 626,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.