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Finding the Third Proportional to 396,798.75 and 596,094.19

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Solution

The third proportional to 396,798.75 and 596,094.19 is: 895,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,798.75 : 596,094.19 = 596,094.19 : x
  2. Step 2: Convert to fraction form
    396,798.75/596,094.19 = 596,094.19/x
  3. Step 3: Cross multiply
    396,798.75x = 596,094.19 × 596,094.19
  4. Step 4: Simplify right side
    396,798.75x = 355,328,280,371.29
  5. Step 5: Solve for x
    x = 355,328,280,371.29/396,798.75
  6. Step 6: Final answer
    x = 895,487.40

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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.