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Finding the Third Proportional to 298,776.75 and 457,251.75

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Solution

The third proportional to 298,776.75 and 457,251.75 is: 699,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,776.75 : 457,251.75 = 457,251.75 : x
  2. Step 2: Convert to fraction form
    298,776.75/457,251.75 = 457,251.75/x
  3. Step 3: Cross multiply
    298,776.75x = 457,251.75 × 457,251.75
  4. Step 4: Simplify right side
    298,776.75x = 209,079,162,878.06
  5. Step 5: Solve for x
    x = 209,079,162,878.06/298,776.75
  6. Step 6: Final answer
    x = 699,783.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.