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Finding the Third Proportional to 400,032 and 866,463.75

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Solution

The third proportional to 400,032 and 866,463.75 is: 1,876,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,032 : 866,463.75 = 866,463.75 : x
  2. Step 2: Convert to fraction form
    400,032/866,463.75 = 866,463.75/x
  3. Step 3: Cross multiply
    400,032x = 866,463.75 × 866,463.75
  4. Step 4: Simplify right side
    400,032x = 750,759,430,064.06
  5. Step 5: Solve for x
    x = 750,759,430,064.06/400,032
  6. Step 6: Final answer
    x = 1,876,748.44

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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.