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Finding the Third Proportional to 395,868 and 611,586

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Solution

The third proportional to 395,868 and 611,586 is: 944,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,868 : 611,586 = 611,586 : x
  2. Step 2: Convert to fraction form
    395,868/611,586 = 611,586/x
  3. Step 3: Cross multiply
    395,868x = 611,586 × 611,586
  4. Step 4: Simplify right side
    395,868x = 374,037,435,396
  5. Step 5: Solve for x
    x = 374,037,435,396/395,868
  6. Step 6: Final answer
    x = 944,853.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.