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Finding the Third Proportional to 224,725.22 and 482,801.34

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Solution

The third proportional to 224,725.22 and 482,801.34 is: 1,037,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,725.22 : 482,801.34 = 482,801.34 : x
  2. Step 2: Convert to fraction form
    224,725.22/482,801.34 = 482,801.34/x
  3. Step 3: Cross multiply
    224,725.22x = 482,801.34 × 482,801.34
  4. Step 4: Simplify right side
    224,725.22x = 233,097,137,526.81
  5. Step 5: Solve for x
    x = 233,097,137,526.81/224,725.22
  6. Step 6: Final answer
    x = 1,037,254.02

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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.