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Finding the Third Proportional to 227,583 and 469,867

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Solution

The third proportional to 227,583 and 469,867 is: 970,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,583 : 469,867 = 469,867 : x
  2. Step 2: Convert to fraction form
    227,583/469,867 = 469,867/x
  3. Step 3: Cross multiply
    227,583x = 469,867 × 469,867
  4. Step 4: Simplify right side
    227,583x = 220,774,997,689
  5. Step 5: Solve for x
    x = 220,774,997,689/227,583
  6. Step 6: Final answer
    x = 970,085.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.