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Finding the Third Proportional to 241,418 and 354,728

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Solution

The third proportional to 241,418 and 354,728 is: 521,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,418 : 354,728 = 354,728 : x
  2. Step 2: Convert to fraction form
    241,418/354,728 = 354,728/x
  3. Step 3: Cross multiply
    241,418x = 354,728 × 354,728
  4. Step 4: Simplify right side
    241,418x = 125,831,953,984
  5. Step 5: Solve for x
    x = 125,831,953,984/241,418
  6. Step 6: Final answer
    x = 521,220.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.