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Finding the Third Proportional to 230,990 and 506,116

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Solution

The third proportional to 230,990 and 506,116 is: 1,108,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,990 : 506,116 = 506,116 : x
  2. Step 2: Convert to fraction form
    230,990/506,116 = 506,116/x
  3. Step 3: Cross multiply
    230,990x = 506,116 × 506,116
  4. Step 4: Simplify right side
    230,990x = 256,153,405,456
  5. Step 5: Solve for x
    x = 256,153,405,456/230,990
  6. Step 6: Final answer
    x = 1,108,937.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.