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Finding the Third Proportional to 272,027 and 590,791

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Solution

The third proportional to 272,027 and 590,791 is: 1,283,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,027 : 590,791 = 590,791 : x
  2. Step 2: Convert to fraction form
    272,027/590,791 = 590,791/x
  3. Step 3: Cross multiply
    272,027x = 590,791 × 590,791
  4. Step 4: Simplify right side
    272,027x = 349,034,005,681
  5. Step 5: Solve for x
    x = 349,034,005,681/272,027
  6. Step 6: Final answer
    x = 1,283,085.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.