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Finding the Third Proportional to 343,539 and 451,752

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Solution

The third proportional to 343,539 and 451,752 is: 594,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,539 : 451,752 = 451,752 : x
  2. Step 2: Convert to fraction form
    343,539/451,752 = 451,752/x
  3. Step 3: Cross multiply
    343,539x = 451,752 × 451,752
  4. Step 4: Simplify right side
    343,539x = 204,079,869,504
  5. Step 5: Solve for x
    x = 204,079,869,504/343,539
  6. Step 6: Final answer
    x = 594,051.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.