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Finding the Third Proportional to 344,066 and 521,283

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Solution

The third proportional to 344,066 and 521,283 is: 789,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,066 : 521,283 = 521,283 : x
  2. Step 2: Convert to fraction form
    344,066/521,283 = 521,283/x
  3. Step 3: Cross multiply
    344,066x = 521,283 × 521,283
  4. Step 4: Simplify right side
    344,066x = 271,735,966,089
  5. Step 5: Solve for x
    x = 271,735,966,089/344,066
  6. Step 6: Final answer
    x = 789,778.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.