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Finding the Third Proportional to 215,044 and 300,769

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Solution

The third proportional to 215,044 and 300,769 is: 420,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,044 : 300,769 = 300,769 : x
  2. Step 2: Convert to fraction form
    215,044/300,769 = 300,769/x
  3. Step 3: Cross multiply
    215,044x = 300,769 × 300,769
  4. Step 4: Simplify right side
    215,044x = 90,461,991,361
  5. Step 5: Solve for x
    x = 90,461,991,361/215,044
  6. Step 6: Final answer
    x = 420,667.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.