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Finding the Third Proportional to 270,000 and 590,841

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Solution

The third proportional to 270,000 and 590,841 is: 1,292,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,000 : 590,841 = 590,841 : x
  2. Step 2: Convert to fraction form
    270,000/590,841 = 590,841/x
  3. Step 3: Cross multiply
    270,000x = 590,841 × 590,841
  4. Step 4: Simplify right side
    270,000x = 349,093,087,281
  5. Step 5: Solve for x
    x = 349,093,087,281/270,000
  6. Step 6: Final answer
    x = 1,292,937.36

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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.