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Finding the Third Proportional to 190,619.74 and 412,621.59

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Solution

The third proportional to 190,619.74 and 412,621.59 is: 893,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,619.74 : 412,621.59 = 412,621.59 : x
  2. Step 2: Convert to fraction form
    190,619.74/412,621.59 = 412,621.59/x
  3. Step 3: Cross multiply
    190,619.74x = 412,621.59 × 412,621.59
  4. Step 4: Simplify right side
    190,619.74x = 170,256,579,628.79
  5. Step 5: Solve for x
    x = 170,256,579,628.79/190,619.74
  6. Step 6: Final answer
    x = 893,173.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.