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Finding the Third Proportional to 400,038.75 and 866,781

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Solution

The third proportional to 400,038.75 and 866,781 is: 1,878,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,038.75 : 866,781 = 866,781 : x
  2. Step 2: Convert to fraction form
    400,038.75/866,781 = 866,781/x
  3. Step 3: Cross multiply
    400,038.75x = 866,781 × 866,781
  4. Step 4: Simplify right side
    400,038.75x = 751,309,301,961
  5. Step 5: Solve for x
    x = 751,309,301,961/400,038.75
  6. Step 6: Final answer
    x = 1,878,091.31

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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.