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Finding the Third Proportional to 284,923 and 442,926

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Solution

The third proportional to 284,923 and 442,926 is: 688,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,923 : 442,926 = 442,926 : x
  2. Step 2: Convert to fraction form
    284,923/442,926 = 442,926/x
  3. Step 3: Cross multiply
    284,923x = 442,926 × 442,926
  4. Step 4: Simplify right side
    284,923x = 196,183,441,476
  5. Step 5: Solve for x
    x = 196,183,441,476/284,923
  6. Step 6: Final answer
    x = 688,548.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.