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Finding the Third Proportional to 362,326.50 and 787,085.50

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Solution

The third proportional to 362,326.50 and 787,085.50 is: 1,709,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,326.50 : 787,085.50 = 787,085.50 : x
  2. Step 2: Convert to fraction form
    362,326.50/787,085.50 = 787,085.50/x
  3. Step 3: Cross multiply
    362,326.50x = 787,085.50 × 787,085.50
  4. Step 4: Simplify right side
    362,326.50x = 619,503,584,310.25
  5. Step 5: Solve for x
    x = 619,503,584,310.25/362,326.50
  6. Step 6: Final answer
    x = 1,709,793.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.