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Finding the Third Proportional to 230,762 and 496,660

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Solution

The third proportional to 230,762 and 496,660 is: 1,068,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,762 : 496,660 = 496,660 : x
  2. Step 2: Convert to fraction form
    230,762/496,660 = 496,660/x
  3. Step 3: Cross multiply
    230,762x = 496,660 × 496,660
  4. Step 4: Simplify right side
    230,762x = 246,671,155,600
  5. Step 5: Solve for x
    x = 246,671,155,600/230,762
  6. Step 6: Final answer
    x = 1,068,941.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.