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Finding the Third Proportional to 383,928.19 and 835,579.13

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Solution

The third proportional to 383,928.19 and 835,579.13 is: 1,818,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,928.19 : 835,579.13 = 835,579.13 : x
  2. Step 2: Convert to fraction form
    383,928.19/835,579.13 = 835,579.13/x
  3. Step 3: Cross multiply
    383,928.19x = 835,579.13 × 835,579.13
  4. Step 4: Simplify right side
    383,928.19x = 698,192,474,135.77
  5. Step 5: Solve for x
    x = 698,192,474,135.77/383,928.19
  6. Step 6: Final answer
    x = 1,818,549.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.