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Finding the Third Proportional to 201,433.50 and 438,799.50

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Solution

The third proportional to 201,433.50 and 438,799.50 is: 955,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,433.50 : 438,799.50 = 438,799.50 : x
  2. Step 2: Convert to fraction form
    201,433.50/438,799.50 = 438,799.50/x
  3. Step 3: Cross multiply
    201,433.50x = 438,799.50 × 438,799.50
  4. Step 4: Simplify right side
    201,433.50x = 192,545,001,200.25
  5. Step 5: Solve for x
    x = 192,545,001,200.25/201,433.50
  6. Step 6: Final answer
    x = 955,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.