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Finding the Third Proportional to 312,187.50 and 467,023.50

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Solution

The third proportional to 312,187.50 and 467,023.50 is: 698,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,187.50 : 467,023.50 = 467,023.50 : x
  2. Step 2: Convert to fraction form
    312,187.50/467,023.50 = 467,023.50/x
  3. Step 3: Cross multiply
    312,187.50x = 467,023.50 × 467,023.50
  4. Step 4: Simplify right side
    312,187.50x = 218,110,949,552.25
  5. Step 5: Solve for x
    x = 218,110,949,552.25/312,187.50
  6. Step 6: Final answer
    x = 698,653.69

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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.