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Finding the Third Proportional to 403,643.25 and 849,109.50

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Solution

The third proportional to 403,643.25 and 849,109.50 is: 1,786,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,643.25 : 849,109.50 = 849,109.50 : x
  2. Step 2: Convert to fraction form
    403,643.25/849,109.50 = 849,109.50/x
  3. Step 3: Cross multiply
    403,643.25x = 849,109.50 × 849,109.50
  4. Step 4: Simplify right side
    403,643.25x = 720,986,942,990.25
  5. Step 5: Solve for x
    x = 720,986,942,990.25/403,643.25
  6. Step 6: Final answer
    x = 1,786,198.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.