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Finding the Third Proportional to 241,984 and 373,848

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Solution

The third proportional to 241,984 and 373,848 is: 577,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,984 : 373,848 = 373,848 : x
  2. Step 2: Convert to fraction form
    241,984/373,848 = 373,848/x
  3. Step 3: Cross multiply
    241,984x = 373,848 × 373,848
  4. Step 4: Simplify right side
    241,984x = 139,762,327,104
  5. Step 5: Solve for x
    x = 139,762,327,104/241,984
  6. Step 6: Final answer
    x = 577,568.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.