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Finding the Third Proportional to 297,795 and 637,143

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Solution

The third proportional to 297,795 and 637,143 is: 1,363,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,795 : 637,143 = 637,143 : x
  2. Step 2: Convert to fraction form
    297,795/637,143 = 637,143/x
  3. Step 3: Cross multiply
    297,795x = 637,143 × 637,143
  4. Step 4: Simplify right side
    297,795x = 405,951,202,449
  5. Step 5: Solve for x
    x = 405,951,202,449/297,795
  6. Step 6: Final answer
    x = 1,363,190.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.