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Finding the Third Proportional to 396,114 and 592,653

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Solution

The third proportional to 396,114 and 592,653 is: 886,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,114 : 592,653 = 592,653 : x
  2. Step 2: Convert to fraction form
    396,114/592,653 = 592,653/x
  3. Step 3: Cross multiply
    396,114x = 592,653 × 592,653
  4. Step 4: Simplify right side
    396,114x = 351,237,578,409
  5. Step 5: Solve for x
    x = 351,237,578,409/396,114
  6. Step 6: Final answer
    x = 886,708.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.