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Finding the Third Proportional to 299,160 and 637,848

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Solution

The third proportional to 299,160 and 637,848 is: 1,359,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160 : 637,848 = 637,848 : x
  2. Step 2: Convert to fraction form
    299,160/637,848 = 637,848/x
  3. Step 3: Cross multiply
    299,160x = 637,848 × 637,848
  4. Step 4: Simplify right side
    299,160x = 406,850,071,104
  5. Step 5: Solve for x
    x = 406,850,071,104/299,160
  6. Step 6: Final answer
    x = 1,359,974.83

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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.