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Finding the Third Proportional to 343,350 and 462,031

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Solution

The third proportional to 343,350 and 462,031 is: 621,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,350 : 462,031 = 462,031 : x
  2. Step 2: Convert to fraction form
    343,350/462,031 = 462,031/x
  3. Step 3: Cross multiply
    343,350x = 462,031 × 462,031
  4. Step 4: Simplify right side
    343,350x = 213,472,644,961
  5. Step 5: Solve for x
    x = 213,472,644,961/343,350
  6. Step 6: Final answer
    x = 621,734.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.