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Finding the Third Proportional to 333,612.50 and 516,375.75

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Solution

The third proportional to 333,612.50 and 516,375.75 is: 799,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,612.50 : 516,375.75 = 516,375.75 : x
  2. Step 2: Convert to fraction form
    333,612.50/516,375.75 = 516,375.75/x
  3. Step 3: Cross multiply
    333,612.50x = 516,375.75 × 516,375.75
  4. Step 4: Simplify right side
    333,612.50x = 266,643,915,188.06
  5. Step 5: Solve for x
    x = 266,643,915,188.06/333,612.50
  6. Step 6: Final answer
    x = 799,262.36

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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.