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Finding the Third Proportional to 224,835.75 and 486,364.50

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Solution

The third proportional to 224,835.75 and 486,364.50 is: 1,052,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835.75 : 486,364.50 = 486,364.50 : x
  2. Step 2: Convert to fraction form
    224,835.75/486,364.50 = 486,364.50/x
  3. Step 3: Cross multiply
    224,835.75x = 486,364.50 × 486,364.50
  4. Step 4: Simplify right side
    224,835.75x = 236,550,426,860.25
  5. Step 5: Solve for x
    x = 236,550,426,860.25/224,835.75
  6. Step 6: Final answer
    x = 1,052,103.27

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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.