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Finding the Third Proportional to 299,164 and 637,856

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Solution

The third proportional to 299,164 and 637,856 is: 1,359,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164 : 637,856 = 637,856 : x
  2. Step 2: Convert to fraction form
    299,164/637,856 = 637,856/x
  3. Step 3: Cross multiply
    299,164x = 637,856 × 637,856
  4. Step 4: Simplify right side
    299,164x = 406,860,276,736
  5. Step 5: Solve for x
    x = 406,860,276,736/299,164
  6. Step 6: Final answer
    x = 1,359,990.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.