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Finding the Third Proportional to 197,584.50 and 432,799.50

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Solution

The third proportional to 197,584.50 and 432,799.50 is: 948,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584.50 : 432,799.50 = 432,799.50 : x
  2. Step 2: Convert to fraction form
    197,584.50/432,799.50 = 432,799.50/x
  3. Step 3: Cross multiply
    197,584.50x = 432,799.50 × 432,799.50
  4. Step 4: Simplify right side
    197,584.50x = 187,315,407,200.25
  5. Step 5: Solve for x
    x = 187,315,407,200.25/197,584.50
  6. Step 6: Final answer
    x = 948,026.83

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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.