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Finding the Third Proportional to 364,344 and 746,688

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Solution

The third proportional to 364,344 and 746,688 is: 1,530,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,344 : 746,688 = 746,688 : x
  2. Step 2: Convert to fraction form
    364,344/746,688 = 746,688/x
  3. Step 3: Cross multiply
    364,344x = 746,688 × 746,688
  4. Step 4: Simplify right side
    364,344x = 557,542,969,344
  5. Step 5: Solve for x
    x = 557,542,969,344/364,344
  6. Step 6: Final answer
    x = 1,530,265.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.