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Finding the Third Proportional to 412,925 and 603,448

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Solution

The third proportional to 412,925 and 603,448 is: 881,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,925 : 603,448 = 603,448 : x
  2. Step 2: Convert to fraction form
    412,925/603,448 = 603,448/x
  3. Step 3: Cross multiply
    412,925x = 603,448 × 603,448
  4. Step 4: Simplify right side
    412,925x = 364,149,488,704
  5. Step 5: Solve for x
    x = 364,149,488,704/412,925
  6. Step 6: Final answer
    x = 881,878.04

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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.