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Finding the Third Proportional to 230,466 and 503,716

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Solution

The third proportional to 230,466 and 503,716 is: 1,100,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,466 : 503,716 = 503,716 : x
  2. Step 2: Convert to fraction form
    230,466/503,716 = 503,716/x
  3. Step 3: Cross multiply
    230,466x = 503,716 × 503,716
  4. Step 4: Simplify right side
    230,466x = 253,729,808,656
  5. Step 5: Solve for x
    x = 253,729,808,656/230,466
  6. Step 6: Final answer
    x = 1,100,942.48

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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.