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Finding the Third Proportional to 395,172 and 596,241

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Solution

The third proportional to 395,172 and 596,241 is: 899,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,172 : 596,241 = 596,241 : x
  2. Step 2: Convert to fraction form
    395,172/596,241 = 596,241/x
  3. Step 3: Cross multiply
    395,172x = 596,241 × 596,241
  4. Step 4: Simplify right side
    395,172x = 355,503,330,081
  5. Step 5: Solve for x
    x = 355,503,330,081/395,172
  6. Step 6: Final answer
    x = 899,616.70

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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.