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Finding the Third Proportional to 306,994 and 440,727

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Solution

The third proportional to 306,994 and 440,727 is: 632,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,994 : 440,727 = 440,727 : x
  2. Step 2: Convert to fraction form
    306,994/440,727 = 440,727/x
  3. Step 3: Cross multiply
    306,994x = 440,727 × 440,727
  4. Step 4: Simplify right side
    306,994x = 194,240,288,529
  5. Step 5: Solve for x
    x = 194,240,288,529/306,994
  6. Step 6: Final answer
    x = 632,716.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.