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Finding the Third Proportional to 189,480 and 407,616

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Solution

The third proportional to 189,480 and 407,616 is: 876,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,480 : 407,616 = 407,616 : x
  2. Step 2: Convert to fraction form
    189,480/407,616 = 407,616/x
  3. Step 3: Cross multiply
    189,480x = 407,616 × 407,616
  4. Step 4: Simplify right side
    189,480x = 166,150,803,456
  5. Step 5: Solve for x
    x = 166,150,803,456/189,480
  6. Step 6: Final answer
    x = 876,877.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.