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Finding the Third Proportional to 339,960 and 500,098

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Solution

The third proportional to 339,960 and 500,098 is: 735,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,960 : 500,098 = 500,098 : x
  2. Step 2: Convert to fraction form
    339,960/500,098 = 500,098/x
  3. Step 3: Cross multiply
    339,960x = 500,098 × 500,098
  4. Step 4: Simplify right side
    339,960x = 250,098,009,604
  5. Step 5: Solve for x
    x = 250,098,009,604/339,960
  6. Step 6: Final answer
    x = 735,668.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.