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Finding the Third Proportional to 284,289 and 612,863

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Solution

The third proportional to 284,289 and 612,863 is: 1,321,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,289 : 612,863 = 612,863 : x
  2. Step 2: Convert to fraction form
    284,289/612,863 = 612,863/x
  3. Step 3: Cross multiply
    284,289x = 612,863 × 612,863
  4. Step 4: Simplify right side
    284,289x = 375,601,056,769
  5. Step 5: Solve for x
    x = 375,601,056,769/284,289
  6. Step 6: Final answer
    x = 1,321,194.48

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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.