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Finding the Third Proportional to 396,148.50 and 596,119.50

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Solution

The third proportional to 396,148.50 and 596,119.50 is: 897,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,148.50 : 596,119.50 = 596,119.50 : x
  2. Step 2: Convert to fraction form
    396,148.50/596,119.50 = 596,119.50/x
  3. Step 3: Cross multiply
    396,148.50x = 596,119.50 × 596,119.50
  4. Step 4: Simplify right side
    396,148.50x = 355,358,458,280.25
  5. Step 5: Solve for x
    x = 355,358,458,280.25/396,148.50
  6. Step 6: Final answer
    x = 897,033.46

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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.