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Finding the Third Proportional to 233,928 and 497,016

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Solution

The third proportional to 233,928 and 497,016 is: 1,055,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,928 : 497,016 = 497,016 : x
  2. Step 2: Convert to fraction form
    233,928/497,016 = 497,016/x
  3. Step 3: Cross multiply
    233,928x = 497,016 × 497,016
  4. Step 4: Simplify right side
    233,928x = 247,024,904,256
  5. Step 5: Solve for x
    x = 247,024,904,256/233,928
  6. Step 6: Final answer
    x = 1,055,986.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.