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Finding the Third Proportional to 180,406 and 389,412

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Solution

The third proportional to 180,406 and 389,412 is: 840,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,406 : 389,412 = 389,412 : x
  2. Step 2: Convert to fraction form
    180,406/389,412 = 389,412/x
  3. Step 3: Cross multiply
    180,406x = 389,412 × 389,412
  4. Step 4: Simplify right side
    180,406x = 151,641,705,744
  5. Step 5: Solve for x
    x = 151,641,705,744/180,406
  6. Step 6: Final answer
    x = 840,558.00

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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.