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Finding the Third Proportional to 269,990.44 and 573,184.13

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Solution

The third proportional to 269,990.44 and 573,184.13 is: 1,216,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,990.44 : 573,184.13 = 573,184.13 : x
  2. Step 2: Convert to fraction form
    269,990.44/573,184.13 = 573,184.13/x
  3. Step 3: Cross multiply
    269,990.44x = 573,184.13 × 573,184.13
  4. Step 4: Simplify right side
    269,990.44x = 328,540,041,152.02
  5. Step 5: Solve for x
    x = 328,540,041,152.02/269,990.44
  6. Step 6: Final answer
    x = 1,216,858.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.