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Finding the Third Proportional to 400,245.75 and 866,921.63

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Solution

The third proportional to 400,245.75 and 866,921.63 is: 1,877,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,245.75 : 866,921.63 = 866,921.63 : x
  2. Step 2: Convert to fraction form
    400,245.75/866,921.63 = 866,921.63/x
  3. Step 3: Cross multiply
    400,245.75x = 866,921.63 × 866,921.63
  4. Step 4: Simplify right side
    400,245.75x = 751,553,103,892.64
  5. Step 5: Solve for x
    x = 751,553,103,892.64/400,245.75
  6. Step 6: Final answer
    x = 1,877,729.13

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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.