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Finding the Third Proportional to 561,434 and 862,976

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Solution

The third proportional to 561,434 and 862,976 is: 1,326,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,434 : 862,976 = 862,976 : x
  2. Step 2: Convert to fraction form
    561,434/862,976 = 862,976/x
  3. Step 3: Cross multiply
    561,434x = 862,976 × 862,976
  4. Step 4: Simplify right side
    561,434x = 744,727,576,576
  5. Step 5: Solve for x
    x = 744,727,576,576/561,434
  6. Step 6: Final answer
    x = 1,326,473.95

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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.