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Finding the Third Proportional to 305,961.75 and 648,391.50

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Solution

The third proportional to 305,961.75 and 648,391.50 is: 1,374,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,961.75 : 648,391.50 = 648,391.50 : x
  2. Step 2: Convert to fraction form
    305,961.75/648,391.50 = 648,391.50/x
  3. Step 3: Cross multiply
    305,961.75x = 648,391.50 × 648,391.50
  4. Step 4: Simplify right side
    305,961.75x = 420,411,537,272.25
  5. Step 5: Solve for x
    x = 420,411,537,272.25/305,961.75
  6. Step 6: Final answer
    x = 1,374,065.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.