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Finding the Third Proportional to 389.50 and 847.02

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Solution

The third proportional to 389.50 and 847.02 is: 1,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 847.02 = 847.02 : x
  2. Step 2: Convert to fraction form
    389.50/847.02 = 847.02/x
  3. Step 3: Cross multiply
    389.50x = 847.02 × 847.02
  4. Step 4: Simplify right side
    389.50x = 717,442.09
  5. Step 5: Solve for x
    x = 717,442.09/389.50
  6. Step 6: Final answer
    x = 1,841.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.