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Finding the Third Proportional to 344,014.50 and 777,216.75

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Solution

The third proportional to 344,014.50 and 777,216.75 is: 1,755,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,014.50 : 777,216.75 = 777,216.75 : x
  2. Step 2: Convert to fraction form
    344,014.50/777,216.75 = 777,216.75/x
  3. Step 3: Cross multiply
    344,014.50x = 777,216.75 × 777,216.75
  4. Step 4: Simplify right side
    344,014.50x = 604,065,876,480.56
  5. Step 5: Solve for x
    x = 604,065,876,480.56/344,014.50
  6. Step 6: Final answer
    x = 1,755,931.44

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.