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Finding the Third Proportional to 339,945 and 500,022

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Solution

The third proportional to 339,945 and 500,022 is: 735,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,945 : 500,022 = 500,022 : x
  2. Step 2: Convert to fraction form
    339,945/500,022 = 500,022/x
  3. Step 3: Cross multiply
    339,945x = 500,022 × 500,022
  4. Step 4: Simplify right side
    339,945x = 250,022,000,484
  5. Step 5: Solve for x
    x = 250,022,000,484/339,945
  6. Step 6: Final answer
    x = 735,477.80

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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.