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Finding the Third Proportional to 347,175 and 760,824

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Solution

The third proportional to 347,175 and 760,824 is: 1,667,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,175 : 760,824 = 760,824 : x
  2. Step 2: Convert to fraction form
    347,175/760,824 = 760,824/x
  3. Step 3: Cross multiply
    347,175x = 760,824 × 760,824
  4. Step 4: Simplify right side
    347,175x = 578,853,158,976
  5. Step 5: Solve for x
    x = 578,853,158,976/347,175
  6. Step 6: Final answer
    x = 1,667,323.85

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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.