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Finding the Third Proportional to 339,969 and 500,031

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Solution

The third proportional to 339,969 and 500,031 is: 735,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,969 : 500,031 = 500,031 : x
  2. Step 2: Convert to fraction form
    339,969/500,031 = 500,031/x
  3. Step 3: Cross multiply
    339,969x = 500,031 × 500,031
  4. Step 4: Simplify right side
    339,969x = 250,031,000,961
  5. Step 5: Solve for x
    x = 250,031,000,961/339,969
  6. Step 6: Final answer
    x = 735,452.35

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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.