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Finding the Third Proportional to 344,971 and 483,407

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Solution

The third proportional to 344,971 and 483,407 is: 677,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,971 : 483,407 = 483,407 : x
  2. Step 2: Convert to fraction form
    344,971/483,407 = 483,407/x
  3. Step 3: Cross multiply
    344,971x = 483,407 × 483,407
  4. Step 4: Simplify right side
    344,971x = 233,682,327,649
  5. Step 5: Solve for x
    x = 233,682,327,649/344,971
  6. Step 6: Final answer
    x = 677,397.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.