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Finding the Third Proportional to 412,872.19 and 603,376.59

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Solution

The third proportional to 412,872.19 and 603,376.59 is: 881,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,872.19 : 603,376.59 = 603,376.59 : x
  2. Step 2: Convert to fraction form
    412,872.19/603,376.59 = 603,376.59/x
  3. Step 3: Cross multiply
    412,872.19x = 603,376.59 × 603,376.59
  4. Step 4: Simplify right side
    412,872.19x = 364,063,313,885.35
  5. Step 5: Solve for x
    x = 364,063,313,885.35/412,872.19
  6. Step 6: Final answer
    x = 881,782.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.