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Finding the Third Proportional to 308,231 and 483,644

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Solution

The third proportional to 308,231 and 483,644 is: 758,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,231 : 483,644 = 483,644 : x
  2. Step 2: Convert to fraction form
    308,231/483,644 = 483,644/x
  3. Step 3: Cross multiply
    308,231x = 483,644 × 483,644
  4. Step 4: Simplify right side
    308,231x = 233,911,518,736
  5. Step 5: Solve for x
    x = 233,911,518,736/308,231
  6. Step 6: Final answer
    x = 758,883.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.