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Finding the Third Proportional to 224,801.44 and 481,486.50

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Solution

The third proportional to 224,801.44 and 481,486.50 is: 1,031,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,801.44 : 481,486.50 = 481,486.50 : x
  2. Step 2: Convert to fraction form
    224,801.44/481,486.50 = 481,486.50/x
  3. Step 3: Cross multiply
    224,801.44x = 481,486.50 × 481,486.50
  4. Step 4: Simplify right side
    224,801.44x = 231,829,249,682.25
  5. Step 5: Solve for x
    x = 231,829,249,682.25/224,801.44
  6. Step 6: Final answer
    x = 1,031,262.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.