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Finding the Third Proportional to 230,584 and 504,908

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Solution

The third proportional to 230,584 and 504,908 is: 1,105,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,584 : 504,908 = 504,908 : x
  2. Step 2: Convert to fraction form
    230,584/504,908 = 504,908/x
  3. Step 3: Cross multiply
    230,584x = 504,908 × 504,908
  4. Step 4: Simplify right side
    230,584x = 254,932,088,464
  5. Step 5: Solve for x
    x = 254,932,088,464/230,584
  6. Step 6: Final answer
    x = 1,105,593.14

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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.