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Finding the Third Proportional to 234,362.25 and 501,939

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Solution

The third proportional to 234,362.25 and 501,939 is: 1,075,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,362.25 : 501,939 = 501,939 : x
  2. Step 2: Convert to fraction form
    234,362.25/501,939 = 501,939/x
  3. Step 3: Cross multiply
    234,362.25x = 501,939 × 501,939
  4. Step 4: Simplify right side
    234,362.25x = 251,942,759,721
  5. Step 5: Solve for x
    x = 251,942,759,721/234,362.25
  6. Step 6: Final answer
    x = 1,075,014.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.