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Finding the Third Proportional to 327,193,609.50 and 715,955,640.75

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Solution

The third proportional to 327,193,609.50 and 715,955,640.75 is: 1,566,633,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,193,609.50 : 715,955,640.75 = 715,955,640.75 : x
  2. Step 2: Convert to fraction form
    327,193,609.50/715,955,640.75 = 715,955,640.75/x
  3. Step 3: Cross multiply
    327,193,609.50x = 715,955,640.75 × 715,955,640.75
  4. Step 4: Simplify right side
    327,193,609.50x = 512,592,479,521,743,040
  5. Step 5: Solve for x
    x = 512,592,479,521,743,040/327,193,609.50
  6. Step 6: Final answer
    x = 1,566,633,530.24

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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.