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Finding the Third Proportional to 339,968 and 500,110

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Solution

The third proportional to 339,968 and 500,110 is: 735,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,968 : 500,110 = 500,110 : x
  2. Step 2: Convert to fraction form
    339,968/500,110 = 500,110/x
  3. Step 3: Cross multiply
    339,968x = 500,110 × 500,110
  4. Step 4: Simplify right side
    339,968x = 250,110,012,100
  5. Step 5: Solve for x
    x = 250,110,012,100/339,968
  6. Step 6: Final answer
    x = 735,686.92

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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.