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Finding the Third Proportional to 543,318 and 860,129

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Solution

The third proportional to 543,318 and 860,129 is: 1,361,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,318 : 860,129 = 860,129 : x
  2. Step 2: Convert to fraction form
    543,318/860,129 = 860,129/x
  3. Step 3: Cross multiply
    543,318x = 860,129 × 860,129
  4. Step 4: Simplify right side
    543,318x = 739,821,896,641
  5. Step 5: Solve for x
    x = 739,821,896,641/543,318
  6. Step 6: Final answer
    x = 1,361,673.82

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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.