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Finding the Third Proportional to 303,764 and 664,714

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Solution

The third proportional to 303,764 and 664,714 is: 1,454,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,764 : 664,714 = 664,714 : x
  2. Step 2: Convert to fraction form
    303,764/664,714 = 664,714/x
  3. Step 3: Cross multiply
    303,764x = 664,714 × 664,714
  4. Step 4: Simplify right side
    303,764x = 441,844,701,796
  5. Step 5: Solve for x
    x = 441,844,701,796/303,764
  6. Step 6: Final answer
    x = 1,454,565.72

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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.