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Finding the Third Proportional to 224,742 and 482,835.75

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Solution

The third proportional to 224,742 and 482,835.75 is: 1,037,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742 : 482,835.75 = 482,835.75 : x
  2. Step 2: Convert to fraction form
    224,742/482,835.75 = 482,835.75/x
  3. Step 3: Cross multiply
    224,742x = 482,835.75 × 482,835.75
  4. Step 4: Simplify right side
    224,742x = 233,130,361,478.06
  5. Step 5: Solve for x
    x = 233,130,361,478.06/224,742
  6. Step 6: Final answer
    x = 1,037,324.41

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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.