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Finding the Third Proportional to 273,302.44 and 588,124.13

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Solution

The third proportional to 273,302.44 and 588,124.13 is: 1,265,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,302.44 : 588,124.13 = 588,124.13 : x
  2. Step 2: Convert to fraction form
    273,302.44/588,124.13 = 588,124.13/x
  3. Step 3: Cross multiply
    273,302.44x = 588,124.13 × 588,124.13
  4. Step 4: Simplify right side
    273,302.44x = 345,889,986,407.02
  5. Step 5: Solve for x
    x = 345,889,986,407.02/273,302.44
  6. Step 6: Final answer
    x = 1,265,594.22

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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.