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Finding the Third Proportional to 496,836.75 and 745,233

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Solution

The third proportional to 496,836.75 and 745,233 is: 1,117,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,836.75 : 745,233 = 745,233 : x
  2. Step 2: Convert to fraction form
    496,836.75/745,233 = 745,233/x
  3. Step 3: Cross multiply
    496,836.75x = 745,233 × 745,233
  4. Step 4: Simplify right side
    496,836.75x = 555,372,224,289
  5. Step 5: Solve for x
    x = 555,372,224,289/496,836.75
  6. Step 6: Final answer
    x = 1,117,816.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.