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Finding the Third Proportional to 270,056 and 590,938

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Solution

The third proportional to 270,056 and 590,938 is: 1,293,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,056 : 590,938 = 590,938 : x
  2. Step 2: Convert to fraction form
    270,056/590,938 = 590,938/x
  3. Step 3: Cross multiply
    270,056x = 590,938 × 590,938
  4. Step 4: Simplify right side
    270,056x = 349,207,719,844
  5. Step 5: Solve for x
    x = 349,207,719,844/270,056
  6. Step 6: Final answer
    x = 1,293,093.73

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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.