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Finding the Third Proportional to 232,954 and 503,991

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Solution

The third proportional to 232,954 and 503,991 is: 1,090,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,954 : 503,991 = 503,991 : x
  2. Step 2: Convert to fraction form
    232,954/503,991 = 503,991/x
  3. Step 3: Cross multiply
    232,954x = 503,991 × 503,991
  4. Step 4: Simplify right side
    232,954x = 254,006,928,081
  5. Step 5: Solve for x
    x = 254,006,928,081/232,954
  6. Step 6: Final answer
    x = 1,090,373.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.