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Finding the Third Proportional to 190,782 and 414,780

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Solution

The third proportional to 190,782 and 414,780 is: 901,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782 : 414,780 = 414,780 : x
  2. Step 2: Convert to fraction form
    190,782/414,780 = 414,780/x
  3. Step 3: Cross multiply
    190,782x = 414,780 × 414,780
  4. Step 4: Simplify right side
    190,782x = 172,042,448,400
  5. Step 5: Solve for x
    x = 172,042,448,400/190,782
  6. Step 6: Final answer
    x = 901,775.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.