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Finding the Third Proportional to 189,604 and 409,616

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Solution

The third proportional to 189,604 and 409,616 is: 884,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,604 : 409,616 = 409,616 : x
  2. Step 2: Convert to fraction form
    189,604/409,616 = 409,616/x
  3. Step 3: Cross multiply
    189,604x = 409,616 × 409,616
  4. Step 4: Simplify right side
    189,604x = 167,785,267,456
  5. Step 5: Solve for x
    x = 167,785,267,456/189,604
  6. Step 6: Final answer
    x = 884,924.72

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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.