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Finding the Third Proportional to 227,523 and 496,518

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Solution

The third proportional to 227,523 and 496,518 is: 1,083,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,523 : 496,518 = 496,518 : x
  2. Step 2: Convert to fraction form
    227,523/496,518 = 496,518/x
  3. Step 3: Cross multiply
    227,523x = 496,518 × 496,518
  4. Step 4: Simplify right side
    227,523x = 246,530,124,324
  5. Step 5: Solve for x
    x = 246,530,124,324/227,523
  6. Step 6: Final answer
    x = 1,083,539.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.