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Finding the Third Proportional to 302,325 and 446,566.50

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Solution

The third proportional to 302,325 and 446,566.50 is: 659,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,325 : 446,566.50 = 446,566.50 : x
  2. Step 2: Convert to fraction form
    302,325/446,566.50 = 446,566.50/x
  3. Step 3: Cross multiply
    302,325x = 446,566.50 × 446,566.50
  4. Step 4: Simplify right side
    302,325x = 199,421,638,922.25
  5. Step 5: Solve for x
    x = 199,421,638,922.25/302,325
  6. Step 6: Final answer
    x = 659,626.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.