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Finding the Third Proportional to 396,110.25 and 592,646.63

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Solution

The third proportional to 396,110.25 and 592,646.63 is: 886,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,110.25 : 592,646.63 = 592,646.63 : x
  2. Step 2: Convert to fraction form
    396,110.25/592,646.63 = 592,646.63/x
  3. Step 3: Cross multiply
    396,110.25x = 592,646.63 × 592,646.63
  4. Step 4: Simplify right side
    396,110.25x = 351,230,022,123.89
  5. Step 5: Solve for x
    x = 351,230,022,123.89/396,110.25
  6. Step 6: Final answer
    x = 886,697.64

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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.