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Finding the Third Proportional to 234,621 and 515,901

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Solution

The third proportional to 234,621 and 515,901 is: 1,134,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,621 : 515,901 = 515,901 : x
  2. Step 2: Convert to fraction form
    234,621/515,901 = 515,901/x
  3. Step 3: Cross multiply
    234,621x = 515,901 × 515,901
  4. Step 4: Simplify right side
    234,621x = 266,153,841,801
  5. Step 5: Solve for x
    x = 266,153,841,801/234,621
  6. Step 6: Final answer
    x = 1,134,399.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.