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Finding the Third Proportional to 233,971.03 and 503,406.56

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Solution

The third proportional to 233,971.03 and 503,406.56 is: 1,083,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,971.03 : 503,406.56 = 503,406.56 : x
  2. Step 2: Convert to fraction form
    233,971.03/503,406.56 = 503,406.56/x
  3. Step 3: Cross multiply
    233,971.03x = 503,406.56 × 503,406.56
  4. Step 4: Simplify right side
    233,971.03x = 253,418,167,168.07
  5. Step 5: Solve for x
    x = 253,418,167,168.07/233,971.03
  6. Step 6: Final answer
    x = 1,083,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.