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Finding the Third Proportional to 342,738 and 743,796

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Solution

The third proportional to 342,738 and 743,796 is: 1,614,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,738 : 743,796 = 743,796 : x
  2. Step 2: Convert to fraction form
    342,738/743,796 = 743,796/x
  3. Step 3: Cross multiply
    342,738x = 743,796 × 743,796
  4. Step 4: Simplify right side
    342,738x = 553,232,489,616
  5. Step 5: Solve for x
    x = 553,232,489,616/342,738
  6. Step 6: Final answer
    x = 1,614,155.68

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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.