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Finding the Third Proportional to 284,114 and 612,509

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Solution

The third proportional to 284,114 and 612,509 is: 1,320,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114 : 612,509 = 612,509 : x
  2. Step 2: Convert to fraction form
    284,114/612,509 = 612,509/x
  3. Step 3: Cross multiply
    284,114x = 612,509 × 612,509
  4. Step 4: Simplify right side
    284,114x = 375,167,275,081
  5. Step 5: Solve for x
    x = 375,167,275,081/284,114
  6. Step 6: Final answer
    x = 1,320,481.48

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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.