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Finding the Third Proportional to 382,799.50 and 461,121.50

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Solution

The third proportional to 382,799.50 and 461,121.50 is: 555,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,799.50 : 461,121.50 = 461,121.50 : x
  2. Step 2: Convert to fraction form
    382,799.50/461,121.50 = 461,121.50/x
  3. Step 3: Cross multiply
    382,799.50x = 461,121.50 × 461,121.50
  4. Step 4: Simplify right side
    382,799.50x = 212,633,037,762.25
  5. Step 5: Solve for x
    x = 212,633,037,762.25/382,799.50
  6. Step 6: Final answer
    x = 555,468.43

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.