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Finding the Third Proportional to 361,197.50 and 790,907.50

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Solution

The third proportional to 361,197.50 and 790,907.50 is: 1,731,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,197.50 : 790,907.50 = 790,907.50 : x
  2. Step 2: Convert to fraction form
    361,197.50/790,907.50 = 790,907.50/x
  3. Step 3: Cross multiply
    361,197.50x = 790,907.50 × 790,907.50
  4. Step 4: Simplify right side
    361,197.50x = 625,534,673,556.25
  5. Step 5: Solve for x
    x = 625,534,673,556.25/361,197.50
  6. Step 6: Final answer
    x = 1,731,835.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.