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Finding the Third Proportional to 347,806 and 552,837

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Solution

The third proportional to 347,806 and 552,837 is: 878,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,806 : 552,837 = 552,837 : x
  2. Step 2: Convert to fraction form
    347,806/552,837 = 552,837/x
  3. Step 3: Cross multiply
    347,806x = 552,837 × 552,837
  4. Step 4: Simplify right side
    347,806x = 305,628,748,569
  5. Step 5: Solve for x
    x = 305,628,748,569/347,806
  6. Step 6: Final answer
    x = 878,733.40

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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.