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Finding the Third Proportional to 364,320 and 746,784

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Solution

The third proportional to 364,320 and 746,784 is: 1,530,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,320 : 746,784 = 746,784 : x
  2. Step 2: Convert to fraction form
    364,320/746,784 = 746,784/x
  3. Step 3: Cross multiply
    364,320x = 746,784 × 746,784
  4. Step 4: Simplify right side
    364,320x = 557,686,342,656
  5. Step 5: Solve for x
    x = 557,686,342,656/364,320
  6. Step 6: Final answer
    x = 1,530,759.61

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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.