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Finding the Third Proportional to 310,845.75 and 467,422.50

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Solution

The third proportional to 310,845.75 and 467,422.50 is: 702,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,845.75 : 467,422.50 = 467,422.50 : x
  2. Step 2: Convert to fraction form
    310,845.75/467,422.50 = 467,422.50/x
  3. Step 3: Cross multiply
    310,845.75x = 467,422.50 × 467,422.50
  4. Step 4: Simplify right side
    310,845.75x = 218,483,793,506.25
  5. Step 5: Solve for x
    x = 218,483,793,506.25/310,845.75
  6. Step 6: Final answer
    x = 702,868.85

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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.