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Finding the Third Proportional to 302,967 and 659,137.50

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Solution

The third proportional to 302,967 and 659,137.50 is: 1,434,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,967 : 659,137.50 = 659,137.50 : x
  2. Step 2: Convert to fraction form
    302,967/659,137.50 = 659,137.50/x
  3. Step 3: Cross multiply
    302,967x = 659,137.50 × 659,137.50
  4. Step 4: Simplify right side
    302,967x = 434,462,243,906.25
  5. Step 5: Solve for x
    x = 434,462,243,906.25/302,967
  6. Step 6: Final answer
    x = 1,434,024.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.