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Finding the Third Proportional to 543,326 and 860,142

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Solution

The third proportional to 543,326 and 860,142 is: 1,361,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,326 : 860,142 = 860,142 : x
  2. Step 2: Convert to fraction form
    543,326/860,142 = 860,142/x
  3. Step 3: Cross multiply
    543,326x = 860,142 × 860,142
  4. Step 4: Simplify right side
    543,326x = 739,844,260,164
  5. Step 5: Solve for x
    x = 739,844,260,164/543,326
  6. Step 6: Final answer
    x = 1,361,694.93

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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.