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Finding the Third Proportional to 333,774 and 516,498

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Solution

The third proportional to 333,774 and 516,498 is: 799,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774 : 516,498 = 516,498 : x
  2. Step 2: Convert to fraction form
    333,774/516,498 = 516,498/x
  3. Step 3: Cross multiply
    333,774x = 516,498 × 516,498
  4. Step 4: Simplify right side
    333,774x = 266,770,184,004
  5. Step 5: Solve for x
    x = 266,770,184,004/333,774
  6. Step 6: Final answer
    x = 799,253.94

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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.