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Finding the Third Proportional to 194,627 and 414,364

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Solution

The third proportional to 194,627 and 414,364 is: 882,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,627 : 414,364 = 414,364 : x
  2. Step 2: Convert to fraction form
    194,627/414,364 = 414,364/x
  3. Step 3: Cross multiply
    194,627x = 414,364 × 414,364
  4. Step 4: Simplify right side
    194,627x = 171,697,524,496
  5. Step 5: Solve for x
    x = 171,697,524,496/194,627
  6. Step 6: Final answer
    x = 882,187.59

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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.