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Finding the Third Proportional to 472,786 and 717,933

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Solution

The third proportional to 472,786 and 717,933 is: 1,090,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,786 : 717,933 = 717,933 : x
  2. Step 2: Convert to fraction form
    472,786/717,933 = 717,933/x
  3. Step 3: Cross multiply
    472,786x = 717,933 × 717,933
  4. Step 4: Simplify right side
    472,786x = 515,427,792,489
  5. Step 5: Solve for x
    x = 515,427,792,489/472,786
  6. Step 6: Final answer
    x = 1,090,192.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.