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Finding the Third Proportional to 340,741 and 747,092

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Solution

The third proportional to 340,741 and 747,092 is: 1,638,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,741 : 747,092 = 747,092 : x
  2. Step 2: Convert to fraction form
    340,741/747,092 = 747,092/x
  3. Step 3: Cross multiply
    340,741x = 747,092 × 747,092
  4. Step 4: Simplify right side
    340,741x = 558,146,456,464
  5. Step 5: Solve for x
    x = 558,146,456,464/340,741
  6. Step 6: Final answer
    x = 1,638,037.27

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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.