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Finding the Third Proportional to 395,092 and 611,934

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Solution

The third proportional to 395,092 and 611,934 is: 947,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,092 : 611,934 = 611,934 : x
  2. Step 2: Convert to fraction form
    395,092/611,934 = 611,934/x
  3. Step 3: Cross multiply
    395,092x = 611,934 × 611,934
  4. Step 4: Simplify right side
    395,092x = 374,463,220,356
  5. Step 5: Solve for x
    x = 374,463,220,356/395,092
  6. Step 6: Final answer
    x = 947,787.40

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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.