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Finding the Third Proportional to 269,712.75 and 388,504.13

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Solution

The third proportional to 269,712.75 and 388,504.13 is: 559,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,712.75 : 388,504.13 = 388,504.13 : x
  2. Step 2: Convert to fraction form
    269,712.75/388,504.13 = 388,504.13/x
  3. Step 3: Cross multiply
    269,712.75x = 388,504.13 × 388,504.13
  4. Step 4: Simplify right side
    269,712.75x = 150,935,455,142.02
  5. Step 5: Solve for x
    x = 150,935,455,142.02/269,712.75
  6. Step 6: Final answer
    x = 559,615.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.