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Finding the Third Proportional to 284,049 and 426,807

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Solution

The third proportional to 284,049 and 426,807 is: 641,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,049 : 426,807 = 426,807 : x
  2. Step 2: Convert to fraction form
    284,049/426,807 = 426,807/x
  3. Step 3: Cross multiply
    284,049x = 426,807 × 426,807
  4. Step 4: Simplify right side
    284,049x = 182,164,215,249
  5. Step 5: Solve for x
    x = 182,164,215,249/284,049
  6. Step 6: Final answer
    x = 641,312.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.