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Finding the Third Proportional to 492,932.50 and 793,615.50

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Solution

The third proportional to 492,932.50 and 793,615.50 is: 1,277,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,932.50 : 793,615.50 = 793,615.50 : x
  2. Step 2: Convert to fraction form
    492,932.50/793,615.50 = 793,615.50/x
  3. Step 3: Cross multiply
    492,932.50x = 793,615.50 × 793,615.50
  4. Step 4: Simplify right side
    492,932.50x = 629,825,561,840.25
  5. Step 5: Solve for x
    x = 629,825,561,840.25/492,932.50
  6. Step 6: Final answer
    x = 1,277,711.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.