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Finding the Third Proportional to 312,376.50 and 467,228.25

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Solution

The third proportional to 312,376.50 and 467,228.25 is: 698,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,376.50 : 467,228.25 = 467,228.25 : x
  2. Step 2: Convert to fraction form
    312,376.50/467,228.25 = 467,228.25/x
  3. Step 3: Cross multiply
    312,376.50x = 467,228.25 × 467,228.25
  4. Step 4: Simplify right side
    312,376.50x = 218,302,237,598.06
  5. Step 5: Solve for x
    x = 218,302,237,598.06/312,376.50
  6. Step 6: Final answer
    x = 698,843.34

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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.