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Finding the Third Proportional to 297,975.38 and 382,595.06

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Solution

The third proportional to 297,975.38 and 382,595.06 is: 491,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,975.38 : 382,595.06 = 382,595.06 : x
  2. Step 2: Convert to fraction form
    297,975.38/382,595.06 = 382,595.06/x
  3. Step 3: Cross multiply
    297,975.38x = 382,595.06 × 382,595.06
  4. Step 4: Simplify right side
    297,975.38x = 146,378,981,849.38
  5. Step 5: Solve for x
    x = 146,378,981,849.38/297,975.38
  6. Step 6: Final answer
    x = 491,245.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.