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Finding the Third Proportional to 285,979 and 621,767

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Solution

The third proportional to 285,979 and 621,767 is: 1,351,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,979 : 621,767 = 621,767 : x
  2. Step 2: Convert to fraction form
    285,979/621,767 = 621,767/x
  3. Step 3: Cross multiply
    285,979x = 621,767 × 621,767
  4. Step 4: Simplify right side
    285,979x = 386,594,202,289
  5. Step 5: Solve for x
    x = 386,594,202,289/285,979
  6. Step 6: Final answer
    x = 1,351,827.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.