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Finding the Third Proportional to 189,483 and 405,220.50

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Solution

The third proportional to 189,483 and 405,220.50 is: 866,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,483 : 405,220.50 = 405,220.50 : x
  2. Step 2: Convert to fraction form
    189,483/405,220.50 = 405,220.50/x
  3. Step 3: Cross multiply
    189,483x = 405,220.50 × 405,220.50
  4. Step 4: Simplify right side
    189,483x = 164,203,653,620.25
  5. Step 5: Solve for x
    x = 164,203,653,620.25/189,483
  6. Step 6: Final answer
    x = 866,587.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.