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Finding the Third Proportional to 489,922.17 and 745,608.96

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Solution

The third proportional to 489,922.17 and 745,608.96 is: 1,134,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,922.17 : 745,608.96 = 745,608.96 : x
  2. Step 2: Convert to fraction form
    489,922.17/745,608.96 = 745,608.96/x
  3. Step 3: Cross multiply
    489,922.17x = 745,608.96 × 745,608.96
  4. Step 4: Simplify right side
    489,922.17x = 555,932,713,892.69
  5. Step 5: Solve for x
    x = 555,932,713,892.69/489,922.17
  6. Step 6: Final answer
    x = 1,134,736.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.