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Finding the Third Proportional to 343,953 and 521,122.50

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Solution

The third proportional to 343,953 and 521,122.50 is: 789,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,953 : 521,122.50 = 521,122.50 : x
  2. Step 2: Convert to fraction form
    343,953/521,122.50 = 521,122.50/x
  3. Step 3: Cross multiply
    343,953x = 521,122.50 × 521,122.50
  4. Step 4: Simplify right side
    343,953x = 271,568,660,006.25
  5. Step 5: Solve for x
    x = 271,568,660,006.25/343,953
  6. Step 6: Final answer
    x = 789,551.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.