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Finding the Third Proportional to 456,032 and 701,976

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Solution

The third proportional to 456,032 and 701,976 is: 1,080,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,032 : 701,976 = 701,976 : x
  2. Step 2: Convert to fraction form
    456,032/701,976 = 701,976/x
  3. Step 3: Cross multiply
    456,032x = 701,976 × 701,976
  4. Step 4: Simplify right side
    456,032x = 492,770,304,576
  5. Step 5: Solve for x
    x = 492,770,304,576/456,032
  6. Step 6: Final answer
    x = 1,080,560.80

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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.