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Finding the Third Proportional to 224,741.81 and 482,833.13

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Solution

The third proportional to 224,741.81 and 482,833.13 is: 1,037,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,741.81 : 482,833.13 = 482,833.13 : x
  2. Step 2: Convert to fraction form
    224,741.81/482,833.13 = 482,833.13/x
  3. Step 3: Cross multiply
    224,741.81x = 482,833.13 × 482,833.13
  4. Step 4: Simplify right side
    224,741.81x = 233,127,826,597.27
  5. Step 5: Solve for x
    x = 233,127,826,597.27/224,741.81
  6. Step 6: Final answer
    x = 1,037,313.99

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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.