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Finding the Third Proportional to 346,118 and 519,177

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Solution

The third proportional to 346,118 and 519,177 is: 778,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,118 : 519,177 = 519,177 : x
  2. Step 2: Convert to fraction form
    346,118/519,177 = 519,177/x
  3. Step 3: Cross multiply
    346,118x = 519,177 × 519,177
  4. Step 4: Simplify right side
    346,118x = 269,544,757,329
  5. Step 5: Solve for x
    x = 269,544,757,329/346,118
  6. Step 6: Final answer
    x = 778,765.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.