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Finding the Third Proportional to 394,968 and 611,748

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Solution

The third proportional to 394,968 and 611,748 is: 947,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,968 : 611,748 = 611,748 : x
  2. Step 2: Convert to fraction form
    394,968/611,748 = 611,748/x
  3. Step 3: Cross multiply
    394,968x = 611,748 × 611,748
  4. Step 4: Simplify right side
    394,968x = 374,235,615,504
  5. Step 5: Solve for x
    x = 374,235,615,504/394,968
  6. Step 6: Final answer
    x = 947,508.70

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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.