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Finding the Third Proportional to 280,713.41 and 573,613.37

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Solution

The third proportional to 280,713.41 and 573,613.37 is: 1,172,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,713.41 : 573,613.37 = 573,613.37 : x
  2. Step 2: Convert to fraction form
    280,713.41/573,613.37 = 573,613.37/x
  3. Step 3: Cross multiply
    280,713.41x = 573,613.37 × 573,613.37
  4. Step 4: Simplify right side
    280,713.41x = 329,032,292,775.48
  5. Step 5: Solve for x
    x = 329,032,292,775.48/280,713.41
  6. Step 6: Final answer
    x = 1,172,128.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.