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Finding the Third Proportional to 282,276 and 438,966

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Solution

The third proportional to 282,276 and 438,966 is: 682,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,276 : 438,966 = 438,966 : x
  2. Step 2: Convert to fraction form
    282,276/438,966 = 438,966/x
  3. Step 3: Cross multiply
    282,276x = 438,966 × 438,966
  4. Step 4: Simplify right side
    282,276x = 192,691,149,156
  5. Step 5: Solve for x
    x = 192,691,149,156/282,276
  6. Step 6: Final answer
    x = 682,633.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.