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Finding the Third Proportional to 333,235.50 and 516,134.25

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Solution

The third proportional to 333,235.50 and 516,134.25 is: 799,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,235.50 : 516,134.25 = 516,134.25 : x
  2. Step 2: Convert to fraction form
    333,235.50/516,134.25 = 516,134.25/x
  3. Step 3: Cross multiply
    333,235.50x = 516,134.25 × 516,134.25
  4. Step 4: Simplify right side
    333,235.50x = 266,394,564,023.06
  5. Step 5: Solve for x
    x = 266,394,564,023.06/333,235.50
  6. Step 6: Final answer
    x = 799,418.32

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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.