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Finding the Third Proportional to 240,447 and 522,690

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Solution

The third proportional to 240,447 and 522,690 is: 1,136,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,447 : 522,690 = 522,690 : x
  2. Step 2: Convert to fraction form
    240,447/522,690 = 522,690/x
  3. Step 3: Cross multiply
    240,447x = 522,690 × 522,690
  4. Step 4: Simplify right side
    240,447x = 273,204,836,100
  5. Step 5: Solve for x
    x = 273,204,836,100/240,447
  6. Step 6: Final answer
    x = 1,136,237.24

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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.