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Finding the Third Proportional to 343,963.13 and 703,225.13

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Solution

The third proportional to 343,963.13 and 703,225.13 is: 1,437,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,963.13 : 703,225.13 = 703,225.13 : x
  2. Step 2: Convert to fraction form
    343,963.13/703,225.13 = 703,225.13/x
  3. Step 3: Cross multiply
    343,963.13x = 703,225.13 × 703,225.13
  4. Step 4: Simplify right side
    343,963.13x = 494,525,576,431.27
  5. Step 5: Solve for x
    x = 494,525,576,431.27/343,963.13
  6. Step 6: Final answer
    x = 1,437,728.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.