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Finding the Third Proportional to 285,774 and 639,210

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Solution

The third proportional to 285,774 and 639,210 is: 1,429,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,774 : 639,210 = 639,210 : x
  2. Step 2: Convert to fraction form
    285,774/639,210 = 639,210/x
  3. Step 3: Cross multiply
    285,774x = 639,210 × 639,210
  4. Step 4: Simplify right side
    285,774x = 408,589,424,100
  5. Step 5: Solve for x
    x = 408,589,424,100/285,774
  6. Step 6: Final answer
    x = 1,429,764.16

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.