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Finding the Third Proportional to 187,836 and 442,967

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Solution

The third proportional to 187,836 and 442,967 is: 1,044,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,836 : 442,967 = 442,967 : x
  2. Step 2: Convert to fraction form
    187,836/442,967 = 442,967/x
  3. Step 3: Cross multiply
    187,836x = 442,967 × 442,967
  4. Step 4: Simplify right side
    187,836x = 196,219,763,089
  5. Step 5: Solve for x
    x = 196,219,763,089/187,836
  6. Step 6: Final answer
    x = 1,044,633.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.