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Finding the Third Proportional to 301,834.50 and 639,648

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Solution

The third proportional to 301,834.50 and 639,648 is: 1,355,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,834.50 : 639,648 = 639,648 : x
  2. Step 2: Convert to fraction form
    301,834.50/639,648 = 639,648/x
  3. Step 3: Cross multiply
    301,834.50x = 639,648 × 639,648
  4. Step 4: Simplify right side
    301,834.50x = 409,149,563,904
  5. Step 5: Solve for x
    x = 409,149,563,904/301,834.50
  6. Step 6: Final answer
    x = 1,355,542.74

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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.