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Finding the Third Proportional to 280,573.88 and 581,104.13

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Solution

The third proportional to 280,573.88 and 581,104.13 is: 1,203,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,573.88 : 581,104.13 = 581,104.13 : x
  2. Step 2: Convert to fraction form
    280,573.88/581,104.13 = 581,104.13/x
  3. Step 3: Cross multiply
    280,573.88x = 581,104.13 × 581,104.13
  4. Step 4: Simplify right side
    280,573.88x = 337,682,004,092.02
  5. Step 5: Solve for x
    x = 337,682,004,092.02/280,573.88
  6. Step 6: Final answer
    x = 1,203,540.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.