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Finding the Third Proportional to 396,909 and 596,258

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Solution

The third proportional to 396,909 and 596,258 is: 895,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,909 : 596,258 = 596,258 : x
  2. Step 2: Convert to fraction form
    396,909/596,258 = 596,258/x
  3. Step 3: Cross multiply
    396,909x = 596,258 × 596,258
  4. Step 4: Simplify right side
    396,909x = 355,523,602,564
  5. Step 5: Solve for x
    x = 355,523,602,564/396,909
  6. Step 6: Final answer
    x = 895,730.77

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