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Finding the Third Proportional to 342,032 and 749,734

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Solution

The third proportional to 342,032 and 749,734 is: 1,643,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,032 : 749,734 = 749,734 : x
  2. Step 2: Convert to fraction form
    342,032/749,734 = 749,734/x
  3. Step 3: Cross multiply
    342,032x = 749,734 × 749,734
  4. Step 4: Simplify right side
    342,032x = 562,101,070,756
  5. Step 5: Solve for x
    x = 562,101,070,756/342,032
  6. Step 6: Final answer
    x = 1,643,416.61

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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.