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Finding the Third Proportional to 416,016 and 639,576

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Solution

The third proportional to 416,016 and 639,576 is: 983,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,016 : 639,576 = 639,576 : x
  2. Step 2: Convert to fraction form
    416,016/639,576 = 639,576/x
  3. Step 3: Cross multiply
    416,016x = 639,576 × 639,576
  4. Step 4: Simplify right side
    416,016x = 409,057,459,776
  5. Step 5: Solve for x
    x = 409,057,459,776/416,016
  6. Step 6: Final answer
    x = 983,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.