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Finding the Third Proportional to 381,570.75 and 829,581.75

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Solution

The third proportional to 381,570.75 and 829,581.75 is: 1,803,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,570.75 : 829,581.75 = 829,581.75 : x
  2. Step 2: Convert to fraction form
    381,570.75/829,581.75 = 829,581.75/x
  3. Step 3: Cross multiply
    381,570.75x = 829,581.75 × 829,581.75
  4. Step 4: Simplify right side
    381,570.75x = 688,205,879,933.06
  5. Step 5: Solve for x
    x = 688,205,879,933.06/381,570.75
  6. Step 6: Final answer
    x = 1,803,612.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.