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Finding the Third Proportional to 257,610 and 394,099

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Solution

The third proportional to 257,610 and 394,099 is: 602,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,610 : 394,099 = 394,099 : x
  2. Step 2: Convert to fraction form
    257,610/394,099 = 394,099/x
  3. Step 3: Cross multiply
    257,610x = 394,099 × 394,099
  4. Step 4: Simplify right side
    257,610x = 155,314,021,801
  5. Step 5: Solve for x
    x = 155,314,021,801/257,610
  6. Step 6: Final answer
    x = 602,903.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.