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Finding the Third Proportional to 571,424 and 854,330

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Solution

The third proportional to 571,424 and 854,330 is: 1,277,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,424 : 854,330 = 854,330 : x
  2. Step 2: Convert to fraction form
    571,424/854,330 = 854,330/x
  3. Step 3: Cross multiply
    571,424x = 854,330 × 854,330
  4. Step 4: Simplify right side
    571,424x = 729,879,748,900
  5. Step 5: Solve for x
    x = 729,879,748,900/571,424
  6. Step 6: Final answer
    x = 1,277,299.78

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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.