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Finding the Third Proportional to 543,314 and 860,124

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Solution

The third proportional to 543,314 and 860,124 is: 1,361,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,314 : 860,124 = 860,124 : x
  2. Step 2: Convert to fraction form
    543,314/860,124 = 860,124/x
  3. Step 3: Cross multiply
    543,314x = 860,124 × 860,124
  4. Step 4: Simplify right side
    543,314x = 739,813,295,376
  5. Step 5: Solve for x
    x = 739,813,295,376/543,314
  6. Step 6: Final answer
    x = 1,361,668.01

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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.