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Finding the Third Proportional to 333,270 and 516,189

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Solution

The third proportional to 333,270 and 516,189 is: 799,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,270 : 516,189 = 516,189 : x
  2. Step 2: Convert to fraction form
    333,270/516,189 = 516,189/x
  3. Step 3: Cross multiply
    333,270x = 516,189 × 516,189
  4. Step 4: Simplify right side
    333,270x = 266,451,083,721
  5. Step 5: Solve for x
    x = 266,451,083,721/333,270
  6. Step 6: Final answer
    x = 799,505.16

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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.