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Finding the Third Proportional to 239,424 and 501,025.50

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Solution

The third proportional to 239,424 and 501,025.50 is: 1,048,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,424 : 501,025.50 = 501,025.50 : x
  2. Step 2: Convert to fraction form
    239,424/501,025.50 = 501,025.50/x
  3. Step 3: Cross multiply
    239,424x = 501,025.50 × 501,025.50
  4. Step 4: Simplify right side
    239,424x = 251,026,551,650.25
  5. Step 5: Solve for x
    x = 251,026,551,650.25/239,424
  6. Step 6: Final answer
    x = 1,048,460.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.