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Finding the Third Proportional to 396,681 and 595,885.50

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Solution

The third proportional to 396,681 and 595,885.50 is: 895,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,681 : 595,885.50 = 595,885.50 : x
  2. Step 2: Convert to fraction form
    396,681/595,885.50 = 595,885.50/x
  3. Step 3: Cross multiply
    396,681x = 595,885.50 × 595,885.50
  4. Step 4: Simplify right side
    396,681x = 355,079,529,110.25
  5. Step 5: Solve for x
    x = 355,079,529,110.25/396,681
  6. Step 6: Final answer
    x = 895,126.13

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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.