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Finding the Third Proportional to 308,016 and 666,576

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Solution

The third proportional to 308,016 and 666,576 is: 1,442,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,016 : 666,576 = 666,576 : x
  2. Step 2: Convert to fraction form
    308,016/666,576 = 666,576/x
  3. Step 3: Cross multiply
    308,016x = 666,576 × 666,576
  4. Step 4: Simplify right side
    308,016x = 444,323,563,776
  5. Step 5: Solve for x
    x = 444,323,563,776/308,016
  6. Step 6: Final answer
    x = 1,442,534.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.