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Finding the Third Proportional to 308,234 and 483,650

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Solution

The third proportional to 308,234 and 483,650 is: 758,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,234 : 483,650 = 483,650 : x
  2. Step 2: Convert to fraction form
    308,234/483,650 = 483,650/x
  3. Step 3: Cross multiply
    308,234x = 483,650 × 483,650
  4. Step 4: Simplify right side
    308,234x = 233,917,322,500
  5. Step 5: Solve for x
    x = 233,917,322,500/308,234
  6. Step 6: Final answer
    x = 758,895.26

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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.