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Finding the Third Proportional to 257,592 and 543,152

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Solution

The third proportional to 257,592 and 543,152 is: 1,145,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,592 : 543,152 = 543,152 : x
  2. Step 2: Convert to fraction form
    257,592/543,152 = 543,152/x
  3. Step 3: Cross multiply
    257,592x = 543,152 × 543,152
  4. Step 4: Simplify right side
    257,592x = 295,014,095,104
  5. Step 5: Solve for x
    x = 295,014,095,104/257,592
  6. Step 6: Final answer
    x = 1,145,276.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.