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Finding the Third Proportional to 567,472 and 857,976

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Solution

The third proportional to 567,472 and 857,976 is: 1,297,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,472 : 857,976 = 857,976 : x
  2. Step 2: Convert to fraction form
    567,472/857,976 = 857,976/x
  3. Step 3: Cross multiply
    567,472x = 857,976 × 857,976
  4. Step 4: Simplify right side
    567,472x = 736,122,816,576
  5. Step 5: Solve for x
    x = 736,122,816,576/567,472
  6. Step 6: Final answer
    x = 1,297,196.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.