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Finding the Third Proportional to 284,877 and 422,923.50

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Solution

The third proportional to 284,877 and 422,923.50 is: 627,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,877 : 422,923.50 = 422,923.50 : x
  2. Step 2: Convert to fraction form
    284,877/422,923.50 = 422,923.50/x
  3. Step 3: Cross multiply
    284,877x = 422,923.50 × 422,923.50
  4. Step 4: Simplify right side
    284,877x = 178,864,286,852.25
  5. Step 5: Solve for x
    x = 178,864,286,852.25/284,877
  6. Step 6: Final answer
    x = 627,864.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.