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Finding the Third Proportional to 284,298 and 612,879

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Solution

The third proportional to 284,298 and 612,879 is: 1,321,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,298 : 612,879 = 612,879 : x
  2. Step 2: Convert to fraction form
    284,298/612,879 = 612,879/x
  3. Step 3: Cross multiply
    284,298x = 612,879 × 612,879
  4. Step 4: Simplify right side
    284,298x = 375,620,668,641
  5. Step 5: Solve for x
    x = 375,620,668,641/284,298
  6. Step 6: Final answer
    x = 1,321,221.64

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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.