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Finding the Third Proportional to 297,794 and 648,076

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Solution

The third proportional to 297,794 and 648,076 is: 1,410,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,794 : 648,076 = 648,076 : x
  2. Step 2: Convert to fraction form
    297,794/648,076 = 648,076/x
  3. Step 3: Cross multiply
    297,794x = 648,076 × 648,076
  4. Step 4: Simplify right side
    297,794x = 420,002,501,776
  5. Step 5: Solve for x
    x = 420,002,501,776/297,794
  6. Step 6: Final answer
    x = 1,410,379.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.