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Finding the Third Proportional to 279,528 and 442,836

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Solution

The third proportional to 279,528 and 442,836 is: 701,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,528 : 442,836 = 442,836 : x
  2. Step 2: Convert to fraction form
    279,528/442,836 = 442,836/x
  3. Step 3: Cross multiply
    279,528x = 442,836 × 442,836
  4. Step 4: Simplify right side
    279,528x = 196,103,722,896
  5. Step 5: Solve for x
    x = 196,103,722,896/279,528
  6. Step 6: Final answer
    x = 701,553.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.