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Finding the Third Proportional to 248,626.69 and 382,379.06

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Solution

The third proportional to 248,626.69 and 382,379.06 is: 588,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,626.69 : 382,379.06 = 382,379.06 : x
  2. Step 2: Convert to fraction form
    248,626.69/382,379.06 = 382,379.06/x
  3. Step 3: Cross multiply
    248,626.69x = 382,379.06 × 382,379.06
  4. Step 4: Simplify right side
    248,626.69x = 146,213,747,438.38
  5. Step 5: Solve for x
    x = 146,213,747,438.38/248,626.69
  6. Step 6: Final answer
    x = 588,085.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.