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Finding the Third Proportional to 542,062.50 and 793,653

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Solution

The third proportional to 542,062.50 and 793,653 is: 1,162,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,062.50 : 793,653 = 793,653 : x
  2. Step 2: Convert to fraction form
    542,062.50/793,653 = 793,653/x
  3. Step 3: Cross multiply
    542,062.50x = 793,653 × 793,653
  4. Step 4: Simplify right side
    542,062.50x = 629,885,084,409
  5. Step 5: Solve for x
    x = 629,885,084,409/542,062.50
  6. Step 6: Final answer
    x = 1,162,015.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.