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Finding the Third Proportional to 268,237 and 558,505

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Solution

The third proportional to 268,237 and 558,505 is: 1,162,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,237 : 558,505 = 558,505 : x
  2. Step 2: Convert to fraction form
    268,237/558,505 = 558,505/x
  3. Step 3: Cross multiply
    268,237x = 558,505 × 558,505
  4. Step 4: Simplify right side
    268,237x = 311,927,835,025
  5. Step 5: Solve for x
    x = 311,927,835,025/268,237
  6. Step 6: Final answer
    x = 1,162,881.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.