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Finding the Third Proportional to 347,804 and 552,834

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Solution

The third proportional to 347,804 and 552,834 is: 878,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,804 : 552,834 = 552,834 : x
  2. Step 2: Convert to fraction form
    347,804/552,834 = 552,834/x
  3. Step 3: Cross multiply
    347,804x = 552,834 × 552,834
  4. Step 4: Simplify right side
    347,804x = 305,625,431,556
  5. Step 5: Solve for x
    x = 305,625,431,556/347,804
  6. Step 6: Final answer
    x = 878,728.92

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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.