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Finding the Third Proportional to 343,692 and 746,190

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Solution

The third proportional to 343,692 and 746,190 is: 1,620,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,692 : 746,190 = 746,190 : x
  2. Step 2: Convert to fraction form
    343,692/746,190 = 746,190/x
  3. Step 3: Cross multiply
    343,692x = 746,190 × 746,190
  4. Step 4: Simplify right side
    343,692x = 556,799,516,100
  5. Step 5: Solve for x
    x = 556,799,516,100/343,692
  6. Step 6: Final answer
    x = 1,620,053.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.