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Finding the Third Proportional to 183,439.50 and 428,799.50

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Solution

The third proportional to 183,439.50 and 428,799.50 is: 1,002,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,439.50 : 428,799.50 = 428,799.50 : x
  2. Step 2: Convert to fraction form
    183,439.50/428,799.50 = 428,799.50/x
  3. Step 3: Cross multiply
    183,439.50x = 428,799.50 × 428,799.50
  4. Step 4: Simplify right side
    183,439.50x = 183,869,011,200.25
  5. Step 5: Solve for x
    x = 183,869,011,200.25/183,439.50
  6. Step 6: Final answer
    x = 1,002,341.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.