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Finding the Third Proportional to 262,236 and 555,846

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Solution

The third proportional to 262,236 and 555,846 is: 1,178,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,236 : 555,846 = 555,846 : x
  2. Step 2: Convert to fraction form
    262,236/555,846 = 555,846/x
  3. Step 3: Cross multiply
    262,236x = 555,846 × 555,846
  4. Step 4: Simplify right side
    262,236x = 308,964,775,716
  5. Step 5: Solve for x
    x = 308,964,775,716/262,236
  6. Step 6: Final answer
    x = 1,178,193.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.