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Finding the Third Proportional to 230,452 and 503,111

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Solution

The third proportional to 230,452 and 503,111 is: 1,098,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,452 : 503,111 = 503,111 : x
  2. Step 2: Convert to fraction form
    230,452/503,111 = 503,111/x
  3. Step 3: Cross multiply
    230,452x = 503,111 × 503,111
  4. Step 4: Simplify right side
    230,452x = 253,120,678,321
  5. Step 5: Solve for x
    x = 253,120,678,321/230,452
  6. Step 6: Final answer
    x = 1,098,366.16

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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.