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Finding the Third Proportional to 398,763 and 860,139

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Solution

The third proportional to 398,763 and 860,139 is: 1,855,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,763 : 860,139 = 860,139 : x
  2. Step 2: Convert to fraction form
    398,763/860,139 = 860,139/x
  3. Step 3: Cross multiply
    398,763x = 860,139 × 860,139
  4. Step 4: Simplify right side
    398,763x = 739,839,099,321
  5. Step 5: Solve for x
    x = 739,839,099,321/398,763
  6. Step 6: Final answer
    x = 1,855,335.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.