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Finding the Third Proportional to 224,457.75 and 484,525.13

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Solution

The third proportional to 224,457.75 and 484,525.13 is: 1,045,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,457.75 : 484,525.13 = 484,525.13 : x
  2. Step 2: Convert to fraction form
    224,457.75/484,525.13 = 484,525.13/x
  3. Step 3: Cross multiply
    224,457.75x = 484,525.13 × 484,525.13
  4. Step 4: Simplify right side
    224,457.75x = 234,764,596,756.27
  5. Step 5: Solve for x
    x = 234,764,596,756.27/224,457.75
  6. Step 6: Final answer
    x = 1,045,918.87

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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.