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Finding the Third Proportional to 329,031 and 707,998.50

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Solution

The third proportional to 329,031 and 707,998.50 is: 1,523,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,031 : 707,998.50 = 707,998.50 : x
  2. Step 2: Convert to fraction form
    329,031/707,998.50 = 707,998.50/x
  3. Step 3: Cross multiply
    329,031x = 707,998.50 × 707,998.50
  4. Step 4: Simplify right side
    329,031x = 501,261,876,002.25
  5. Step 5: Solve for x
    x = 501,261,876,002.25/329,031
  6. Step 6: Final answer
    x = 1,523,448.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.