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Finding the Third Proportional to 224,349.75 and 481,585.50

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Solution

The third proportional to 224,349.75 and 481,585.50 is: 1,033,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,349.75 : 481,585.50 = 481,585.50 : x
  2. Step 2: Convert to fraction form
    224,349.75/481,585.50 = 481,585.50/x
  3. Step 3: Cross multiply
    224,349.75x = 481,585.50 × 481,585.50
  4. Step 4: Simplify right side
    224,349.75x = 231,924,593,810.25
  5. Step 5: Solve for x
    x = 231,924,593,810.25/224,349.75
  6. Step 6: Final answer
    x = 1,033,763.55

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Why These Related Problems?

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