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Finding the Third Proportional to 284,646 and 613,278

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Solution

The third proportional to 284,646 and 613,278 is: 1,321,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,646 : 613,278 = 613,278 : x
  2. Step 2: Convert to fraction form
    284,646/613,278 = 613,278/x
  3. Step 3: Cross multiply
    284,646x = 613,278 × 613,278
  4. Step 4: Simplify right side
    284,646x = 376,109,905,284
  5. Step 5: Solve for x
    x = 376,109,905,284/284,646
  6. Step 6: Final answer
    x = 1,321,325.10

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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.