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Finding the Third Proportional to 400,243.50 and 866,917

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Solution

The third proportional to 400,243.50 and 866,917 is: 1,877,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,243.50 : 866,917 = 866,917 : x
  2. Step 2: Convert to fraction form
    400,243.50/866,917 = 866,917/x
  3. Step 3: Cross multiply
    400,243.50x = 866,917 × 866,917
  4. Step 4: Simplify right side
    400,243.50x = 751,545,084,889
  5. Step 5: Solve for x
    x = 751,545,084,889/400,243.50
  6. Step 6: Final answer
    x = 1,877,719.65

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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.