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Finding the Third Proportional to 284,650 and 613,286

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Solution

The third proportional to 284,650 and 613,286 is: 1,321,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,650 : 613,286 = 613,286 : x
  2. Step 2: Convert to fraction form
    284,650/613,286 = 613,286/x
  3. Step 3: Cross multiply
    284,650x = 613,286 × 613,286
  4. Step 4: Simplify right side
    284,650x = 376,119,717,796
  5. Step 5: Solve for x
    x = 376,119,717,796/284,650
  6. Step 6: Final answer
    x = 1,321,341.01

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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.