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Finding the Third Proportional to 543,310 and 860,117

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Solution

The third proportional to 543,310 and 860,117 is: 1,361,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,310 : 860,117 = 860,117 : x
  2. Step 2: Convert to fraction form
    543,310/860,117 = 860,117/x
  3. Step 3: Cross multiply
    543,310x = 860,117 × 860,117
  4. Step 4: Simplify right side
    543,310x = 739,801,253,689
  5. Step 5: Solve for x
    x = 739,801,253,689/543,310
  6. Step 6: Final answer
    x = 1,361,655.88

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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.