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Finding the Third Proportional to 269,938.13 and 590,723.44

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Solution

The third proportional to 269,938.13 and 590,723.44 is: 1,292,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,938.13 : 590,723.44 = 590,723.44 : x
  2. Step 2: Convert to fraction form
    269,938.13/590,723.44 = 590,723.44/x
  3. Step 3: Cross multiply
    269,938.13x = 590,723.44 × 590,723.44
  4. Step 4: Simplify right side
    269,938.13x = 348,954,179,611.82
  5. Step 5: Solve for x
    x = 348,954,179,611.82/269,938.13
  6. Step 6: Final answer
    x = 1,292,719.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.