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Finding the Third Proportional to 284,067 and 612,411

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Solution

The third proportional to 284,067 and 612,411 is: 1,320,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,067 : 612,411 = 612,411 : x
  2. Step 2: Convert to fraction form
    284,067/612,411 = 612,411/x
  3. Step 3: Cross multiply
    284,067x = 612,411 × 612,411
  4. Step 4: Simplify right side
    284,067x = 375,047,232,921
  5. Step 5: Solve for x
    x = 375,047,232,921/284,067
  6. Step 6: Final answer
    x = 1,320,277.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.