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Finding the Third Proportional to 543,330 and 860,147

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Solution

The third proportional to 543,330 and 860,147 is: 1,361,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,330 : 860,147 = 860,147 : x
  2. Step 2: Convert to fraction form
    543,330/860,147 = 860,147/x
  3. Step 3: Cross multiply
    543,330x = 860,147 × 860,147
  4. Step 4: Simplify right side
    543,330x = 739,852,861,609
  5. Step 5: Solve for x
    x = 739,852,861,609/543,330
  6. Step 6: Final answer
    x = 1,361,700.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.