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Finding the Third Proportional to 297,866 and 440,967

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Solution

The third proportional to 297,866 and 440,967 is: 652,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,866 : 440,967 = 440,967 : x
  2. Step 2: Convert to fraction form
    297,866/440,967 = 440,967/x
  3. Step 3: Cross multiply
    297,866x = 440,967 × 440,967
  4. Step 4: Simplify right side
    297,866x = 194,451,895,089
  5. Step 5: Solve for x
    x = 194,451,895,089/297,866
  6. Step 6: Final answer
    x = 652,816.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.