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Finding the Third Proportional to 312,174.42 and 467,007.19

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Solution

The third proportional to 312,174.42 and 467,007.19 is: 698,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,174.42 : 467,007.19 = 467,007.19 : x
  2. Step 2: Convert to fraction form
    312,174.42/467,007.19 = 467,007.19/x
  3. Step 3: Cross multiply
    312,174.42x = 467,007.19 × 467,007.19
  4. Step 4: Simplify right side
    312,174.42x = 218,095,713,176.66
  5. Step 5: Solve for x
    x = 218,095,713,176.66/312,174.42
  6. Step 6: Final answer
    x = 698,634.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.