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Finding the Third Proportional to 379,350 and 587,346

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Solution

The third proportional to 379,350 and 587,346 is: 909,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,350 : 587,346 = 587,346 : x
  2. Step 2: Convert to fraction form
    379,350/587,346 = 587,346/x
  3. Step 3: Cross multiply
    379,350x = 587,346 × 587,346
  4. Step 4: Simplify right side
    379,350x = 344,975,323,716
  5. Step 5: Solve for x
    x = 344,975,323,716/379,350
  6. Step 6: Final answer
    x = 909,385.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.