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Finding the Third Proportional to 543,314 and 860,123

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Solution

The third proportional to 543,314 and 860,123 is: 1,361,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,314 : 860,123 = 860,123 : x
  2. Step 2: Convert to fraction form
    543,314/860,123 = 860,123/x
  3. Step 3: Cross multiply
    543,314x = 860,123 × 860,123
  4. Step 4: Simplify right side
    543,314x = 739,811,575,129
  5. Step 5: Solve for x
    x = 739,811,575,129/543,314
  6. Step 6: Final answer
    x = 1,361,664.85

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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.