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Finding the Third Proportional to 396,123.75 and 592,663.50

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Solution

The third proportional to 396,123.75 and 592,663.50 is: 886,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,123.75 : 592,663.50 = 592,663.50 : x
  2. Step 2: Convert to fraction form
    396,123.75/592,663.50 = 592,663.50/x
  3. Step 3: Cross multiply
    396,123.75x = 592,663.50 × 592,663.50
  4. Step 4: Simplify right side
    396,123.75x = 351,250,024,232.25
  5. Step 5: Solve for x
    x = 351,250,024,232.25/396,123.75
  6. Step 6: Final answer
    x = 886,717.91

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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.