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Finding the Third Proportional to 224,741.75 and 482,835.25

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Solution

The third proportional to 224,741.75 and 482,835.25 is: 1,037,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,741.75 : 482,835.25 = 482,835.25 : x
  2. Step 2: Convert to fraction form
    224,741.75/482,835.25 = 482,835.25/x
  3. Step 3: Cross multiply
    224,741.75x = 482,835.25 × 482,835.25
  4. Step 4: Simplify right side
    224,741.75x = 233,129,878,642.56
  5. Step 5: Solve for x
    x = 233,129,878,642.56/224,741.75
  6. Step 6: Final answer
    x = 1,037,323.41

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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.