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Finding the Third Proportional to 300,894.75 and 457,265.25

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Solution

The third proportional to 300,894.75 and 457,265.25 is: 694,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,894.75 : 457,265.25 = 457,265.25 : x
  2. Step 2: Convert to fraction form
    300,894.75/457,265.25 = 457,265.25/x
  3. Step 3: Cross multiply
    300,894.75x = 457,265.25 × 457,265.25
  4. Step 4: Simplify right side
    300,894.75x = 209,091,508,857.56
  5. Step 5: Solve for x
    x = 209,091,508,857.56/300,894.75
  6. Step 6: Final answer
    x = 694,899.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.