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Finding the Third Proportional to 233,959.50 and 507,249

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Solution

The third proportional to 233,959.50 and 507,249 is: 1,099,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,959.50 : 507,249 = 507,249 : x
  2. Step 2: Convert to fraction form
    233,959.50/507,249 = 507,249/x
  3. Step 3: Cross multiply
    233,959.50x = 507,249 × 507,249
  4. Step 4: Simplify right side
    233,959.50x = 257,301,548,001
  5. Step 5: Solve for x
    x = 257,301,548,001/233,959.50
  6. Step 6: Final answer
    x = 1,099,769.61

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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.