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Finding the Third Proportional to 395,138 and 596,115

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Solution

The third proportional to 395,138 and 596,115 is: 899,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,138 : 596,115 = 596,115 : x
  2. Step 2: Convert to fraction form
    395,138/596,115 = 596,115/x
  3. Step 3: Cross multiply
    395,138x = 596,115 × 596,115
  4. Step 4: Simplify right side
    395,138x = 355,353,093,225
  5. Step 5: Solve for x
    x = 355,353,093,225/395,138
  6. Step 6: Final answer
    x = 899,313.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.