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Finding the Third Proportional to 299,114.25 and 640,267.50

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Solution

The third proportional to 299,114.25 and 640,267.50 is: 1,370,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114.25 : 640,267.50 = 640,267.50 : x
  2. Step 2: Convert to fraction form
    299,114.25/640,267.50 = 640,267.50/x
  3. Step 3: Cross multiply
    299,114.25x = 640,267.50 × 640,267.50
  4. Step 4: Simplify right side
    299,114.25x = 409,942,471,556.25
  5. Step 5: Solve for x
    x = 409,942,471,556.25/299,114.25
  6. Step 6: Final answer
    x = 1,370,521.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.