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Finding the Third Proportional to 309,212 and 440,994

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Solution

The third proportional to 309,212 and 440,994 is: 628,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,212 : 440,994 = 440,994 : x
  2. Step 2: Convert to fraction form
    309,212/440,994 = 440,994/x
  3. Step 3: Cross multiply
    309,212x = 440,994 × 440,994
  4. Step 4: Simplify right side
    309,212x = 194,475,708,036
  5. Step 5: Solve for x
    x = 194,475,708,036/309,212
  6. Step 6: Final answer
    x = 628,939.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.