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Finding the Third Proportional to 336,930 and 525,667

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Solution

The third proportional to 336,930 and 525,667 is: 820,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,930 : 525,667 = 525,667 : x
  2. Step 2: Convert to fraction form
    336,930/525,667 = 525,667/x
  3. Step 3: Cross multiply
    336,930x = 525,667 × 525,667
  4. Step 4: Simplify right side
    336,930x = 276,325,794,889
  5. Step 5: Solve for x
    x = 276,325,794,889/336,930
  6. Step 6: Final answer
    x = 820,128.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.