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Finding the Third Proportional to 347,430 and 519,099

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Solution

The third proportional to 347,430 and 519,099 is: 775,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,430 : 519,099 = 519,099 : x
  2. Step 2: Convert to fraction form
    347,430/519,099 = 519,099/x
  3. Step 3: Cross multiply
    347,430x = 519,099 × 519,099
  4. Step 4: Simplify right side
    347,430x = 269,463,771,801
  5. Step 5: Solve for x
    x = 269,463,771,801/347,430
  6. Step 6: Final answer
    x = 775,591.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.