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Finding the Third Proportional to 367,706 and 794,495.50

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Solution

The third proportional to 367,706 and 794,495.50 is: 1,716,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,706 : 794,495.50 = 794,495.50 : x
  2. Step 2: Convert to fraction form
    367,706/794,495.50 = 794,495.50/x
  3. Step 3: Cross multiply
    367,706x = 794,495.50 × 794,495.50
  4. Step 4: Simplify right side
    367,706x = 631,223,099,520.25
  5. Step 5: Solve for x
    x = 631,223,099,520.25/367,706
  6. Step 6: Final answer
    x = 1,716,651.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.