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Finding the Third Proportional to 185,819 and 407,728

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Solution

The third proportional to 185,819 and 407,728 is: 894,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,819 : 407,728 = 407,728 : x
  2. Step 2: Convert to fraction form
    185,819/407,728 = 407,728/x
  3. Step 3: Cross multiply
    185,819x = 407,728 × 407,728
  4. Step 4: Simplify right side
    185,819x = 166,242,121,984
  5. Step 5: Solve for x
    x = 166,242,121,984/185,819
  6. Step 6: Final answer
    x = 894,645.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.