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Finding the Third Proportional to 333,468.50 and 517,129.50

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Solution

The third proportional to 333,468.50 and 517,129.50 is: 801,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,468.50 : 517,129.50 = 517,129.50 : x
  2. Step 2: Convert to fraction form
    333,468.50/517,129.50 = 517,129.50/x
  3. Step 3: Cross multiply
    333,468.50x = 517,129.50 × 517,129.50
  4. Step 4: Simplify right side
    333,468.50x = 267,422,919,770.25
  5. Step 5: Solve for x
    x = 267,422,919,770.25/333,468.50
  6. Step 6: Final answer
    x = 801,943.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.