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Finding the Third Proportional to 224,344.69 and 484,342.03

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Solution

The third proportional to 224,344.69 and 484,342.03 is: 1,045,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,344.69 : 484,342.03 = 484,342.03 : x
  2. Step 2: Convert to fraction form
    224,344.69/484,342.03 = 484,342.03/x
  3. Step 3: Cross multiply
    224,344.69x = 484,342.03 × 484,342.03
  4. Step 4: Simplify right side
    224,344.69x = 234,587,203,235.38
  5. Step 5: Solve for x
    x = 234,587,203,235.38/224,344.69
  6. Step 6: Final answer
    x = 1,045,655.26

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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.