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Finding the Third Proportional to 270,222.75 and 591,232.50

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Solution

The third proportional to 270,222.75 and 591,232.50 is: 1,293,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,222.75 : 591,232.50 = 591,232.50 : x
  2. Step 2: Convert to fraction form
    270,222.75/591,232.50 = 591,232.50/x
  3. Step 3: Cross multiply
    270,222.75x = 591,232.50 × 591,232.50
  4. Step 4: Simplify right side
    270,222.75x = 349,555,869,056.25
  5. Step 5: Solve for x
    x = 349,555,869,056.25/270,222.75
  6. Step 6: Final answer
    x = 1,293,584.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.