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Finding the Third Proportional to 186,926 and 410,041

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Solution

The third proportional to 186,926 and 410,041 is: 899,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,926 : 410,041 = 410,041 : x
  2. Step 2: Convert to fraction form
    186,926/410,041 = 410,041/x
  3. Step 3: Cross multiply
    186,926x = 410,041 × 410,041
  4. Step 4: Simplify right side
    186,926x = 168,133,621,681
  5. Step 5: Solve for x
    x = 168,133,621,681/186,926
  6. Step 6: Final answer
    x = 899,466.21

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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.