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Finding the Third Proportional to 413,183 and 638,000

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Solution

The third proportional to 413,183 and 638,000 is: 985,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,183 : 638,000 = 638,000 : x
  2. Step 2: Convert to fraction form
    413,183/638,000 = 638,000/x
  3. Step 3: Cross multiply
    413,183x = 638,000 × 638,000
  4. Step 4: Simplify right side
    413,183x = 407,044,000,000
  5. Step 5: Solve for x
    x = 407,044,000,000/413,183
  6. Step 6: Final answer
    x = 985,142.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.