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Finding the Third Proportional to 327,955.50 and 706,207.50

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Solution

The third proportional to 327,955.50 and 706,207.50 is: 1,520,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,955.50 : 706,207.50 = 706,207.50 : x
  2. Step 2: Convert to fraction form
    327,955.50/706,207.50 = 706,207.50/x
  3. Step 3: Cross multiply
    327,955.50x = 706,207.50 × 706,207.50
  4. Step 4: Simplify right side
    327,955.50x = 498,729,033,056.25
  5. Step 5: Solve for x
    x = 498,729,033,056.25/327,955.50
  6. Step 6: Final answer
    x = 1,520,721.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.