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Finding the Third Proportional to 262,170 and 558,657

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Solution

The third proportional to 262,170 and 558,657 is: 1,190,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,170 : 558,657 = 558,657 : x
  2. Step 2: Convert to fraction form
    262,170/558,657 = 558,657/x
  3. Step 3: Cross multiply
    262,170x = 558,657 × 558,657
  4. Step 4: Simplify right side
    262,170x = 312,097,643,649
  5. Step 5: Solve for x
    x = 312,097,643,649/262,170
  6. Step 6: Final answer
    x = 1,190,439.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.