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Finding the Third Proportional to 234,162 and 513,852

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Solution

The third proportional to 234,162 and 513,852 is: 1,127,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,162 : 513,852 = 513,852 : x
  2. Step 2: Convert to fraction form
    234,162/513,852 = 513,852/x
  3. Step 3: Cross multiply
    234,162x = 513,852 × 513,852
  4. Step 4: Simplify right side
    234,162x = 264,043,877,904
  5. Step 5: Solve for x
    x = 264,043,877,904/234,162
  6. Step 6: Final answer
    x = 1,127,611.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.