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Finding the Third Proportional to 284,406 and 610,284

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Solution

The third proportional to 284,406 and 610,284 is: 1,309,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406 : 610,284 = 610,284 : x
  2. Step 2: Convert to fraction form
    284,406/610,284 = 610,284/x
  3. Step 3: Cross multiply
    284,406x = 610,284 × 610,284
  4. Step 4: Simplify right side
    284,406x = 372,446,560,656
  5. Step 5: Solve for x
    x = 372,446,560,656/284,406
  6. Step 6: Final answer
    x = 1,309,559.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.