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Finding the Third Proportional to 347,802 and 552,831

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Solution

The third proportional to 347,802 and 552,831 is: 878,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,802 : 552,831 = 552,831 : x
  2. Step 2: Convert to fraction form
    347,802/552,831 = 552,831/x
  3. Step 3: Cross multiply
    347,802x = 552,831 × 552,831
  4. Step 4: Simplify right side
    347,802x = 305,622,114,561
  5. Step 5: Solve for x
    x = 305,622,114,561/347,802
  6. Step 6: Final answer
    x = 878,724.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.