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Finding the Third Proportional to 190,656 and 407,483

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Solution

The third proportional to 190,656 and 407,483 is: 870,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,656 : 407,483 = 407,483 : x
  2. Step 2: Convert to fraction form
    190,656/407,483 = 407,483/x
  3. Step 3: Cross multiply
    190,656x = 407,483 × 407,483
  4. Step 4: Simplify right side
    190,656x = 166,042,395,289
  5. Step 5: Solve for x
    x = 166,042,395,289/190,656
  6. Step 6: Final answer
    x = 870,900.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.