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Finding the Third Proportional to 308,232 and 451,683

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Solution

The third proportional to 308,232 and 451,683 is: 661,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,232 : 451,683 = 451,683 : x
  2. Step 2: Convert to fraction form
    308,232/451,683 = 451,683/x
  3. Step 3: Cross multiply
    308,232x = 451,683 × 451,683
  4. Step 4: Simplify right side
    308,232x = 204,017,532,489
  5. Step 5: Solve for x
    x = 204,017,532,489/308,232
  6. Step 6: Final answer
    x = 661,896.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.