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Finding the Third Proportional to 284,814 and 672,330

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Solution

The third proportional to 284,814 and 672,330 is: 1,587,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,814 : 672,330 = 672,330 : x
  2. Step 2: Convert to fraction form
    284,814/672,330 = 672,330/x
  3. Step 3: Cross multiply
    284,814x = 672,330 × 672,330
  4. Step 4: Simplify right side
    284,814x = 452,027,628,900
  5. Step 5: Solve for x
    x = 452,027,628,900/284,814
  6. Step 6: Final answer
    x = 1,587,097.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.