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Finding the Third Proportional to 491,980 and 737,976

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Solution

The third proportional to 491,980 and 737,976 is: 1,106,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,980 : 737,976 = 737,976 : x
  2. Step 2: Convert to fraction form
    491,980/737,976 = 737,976/x
  3. Step 3: Cross multiply
    491,980x = 737,976 × 737,976
  4. Step 4: Simplify right side
    491,980x = 544,608,576,576
  5. Step 5: Solve for x
    x = 544,608,576,576/491,980
  6. Step 6: Final answer
    x = 1,106,973.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.