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Finding the Third Proportional to 412,881.75 and 603,390

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Solution

The third proportional to 412,881.75 and 603,390 is: 881,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,881.75 : 603,390 = 603,390 : x
  2. Step 2: Convert to fraction form
    412,881.75/603,390 = 603,390/x
  3. Step 3: Cross multiply
    412,881.75x = 603,390 × 603,390
  4. Step 4: Simplify right side
    412,881.75x = 364,079,492,100
  5. Step 5: Solve for x
    x = 364,079,492,100/412,881.75
  6. Step 6: Final answer
    x = 881,800.88

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