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Finding the Third Proportional to 224,731.69 and 482,814.56

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Solution

The third proportional to 224,731.69 and 482,814.56 is: 1,037,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,731.69 : 482,814.56 = 482,814.56 : x
  2. Step 2: Convert to fraction form
    224,731.69/482,814.56 = 482,814.56/x
  3. Step 3: Cross multiply
    224,731.69x = 482,814.56 × 482,814.56
  4. Step 4: Simplify right side
    224,731.69x = 233,109,901,762.07
  5. Step 5: Solve for x
    x = 233,109,901,762.07/224,731.69
  6. Step 6: Final answer
    x = 1,037,280.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.