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Finding the Third Proportional to 240,608 and 522,224

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Solution

The third proportional to 240,608 and 522,224 is: 1,133,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,608 : 522,224 = 522,224 : x
  2. Step 2: Convert to fraction form
    240,608/522,224 = 522,224/x
  3. Step 3: Cross multiply
    240,608x = 522,224 × 522,224
  4. Step 4: Simplify right side
    240,608x = 272,717,906,176
  5. Step 5: Solve for x
    x = 272,717,906,176/240,608
  6. Step 6: Final answer
    x = 1,133,453.19

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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.