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Finding the Third Proportional to 262,976 and 576,008

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Solution

The third proportional to 262,976 and 576,008 is: 1,261,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,976 : 576,008 = 576,008 : x
  2. Step 2: Convert to fraction form
    262,976/576,008 = 576,008/x
  3. Step 3: Cross multiply
    262,976x = 576,008 × 576,008
  4. Step 4: Simplify right side
    262,976x = 331,785,216,064
  5. Step 5: Solve for x
    x = 331,785,216,064/262,976
  6. Step 6: Final answer
    x = 1,261,655.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.