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Finding the Third Proportional to 207,828 and 334,693

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Solution

The third proportional to 207,828 and 334,693 is: 539,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,828 : 334,693 = 334,693 : x
  2. Step 2: Convert to fraction form
    207,828/334,693 = 334,693/x
  3. Step 3: Cross multiply
    207,828x = 334,693 × 334,693
  4. Step 4: Simplify right side
    207,828x = 112,019,404,249
  5. Step 5: Solve for x
    x = 112,019,404,249/207,828
  6. Step 6: Final answer
    x = 539,000.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.