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Finding the Third Proportional to 284,923.50 and 451,168.88

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Solution

The third proportional to 284,923.50 and 451,168.88 is: 714,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,923.50 : 451,168.88 = 451,168.88 : x
  2. Step 2: Convert to fraction form
    284,923.50/451,168.88 = 451,168.88/x
  3. Step 3: Cross multiply
    284,923.50x = 451,168.88 × 451,168.88
  4. Step 4: Simplify right side
    284,923.50x = 203,553,353,768.77
  5. Step 5: Solve for x
    x = 203,553,353,768.77/284,923.50
  6. Step 6: Final answer
    x = 714,414.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.