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Finding the Third Proportional to 382,557.94 and 824,856.75

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Solution

The third proportional to 382,557.94 and 824,856.75 is: 1,778,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,557.94 : 824,856.75 = 824,856.75 : x
  2. Step 2: Convert to fraction form
    382,557.94/824,856.75 = 824,856.75/x
  3. Step 3: Cross multiply
    382,557.94x = 824,856.75 × 824,856.75
  4. Step 4: Simplify right side
    382,557.94x = 680,388,658,020.56
  5. Step 5: Solve for x
    x = 680,388,658,020.56/382,557.94
  6. Step 6: Final answer
    x = 1,778,524.48

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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.