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Finding the Third Proportional to 186,962 and 405,637

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Solution

The third proportional to 186,962 and 405,637 is: 880,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,962 : 405,637 = 405,637 : x
  2. Step 2: Convert to fraction form
    186,962/405,637 = 405,637/x
  3. Step 3: Cross multiply
    186,962x = 405,637 × 405,637
  4. Step 4: Simplify right side
    186,962x = 164,541,375,769
  5. Step 5: Solve for x
    x = 164,541,375,769/186,962
  6. Step 6: Final answer
    x = 880,079.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.