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Finding the Third Proportional to 184,624 and 434,675.50

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Solution

The third proportional to 184,624 and 434,675.50 is: 1,023,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,624 : 434,675.50 = 434,675.50 : x
  2. Step 2: Convert to fraction form
    184,624/434,675.50 = 434,675.50/x
  3. Step 3: Cross multiply
    184,624x = 434,675.50 × 434,675.50
  4. Step 4: Simplify right side
    184,624x = 188,942,790,300.25
  5. Step 5: Solve for x
    x = 188,942,790,300.25/184,624
  6. Step 6: Final answer
    x = 1,023,392.36

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.