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Finding the Third Proportional to 301,825.50 and 639,622.50

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Solution

The third proportional to 301,825.50 and 639,622.50 is: 1,355,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,825.50 : 639,622.50 = 639,622.50 : x
  2. Step 2: Convert to fraction form
    301,825.50/639,622.50 = 639,622.50/x
  3. Step 3: Cross multiply
    301,825.50x = 639,622.50 × 639,622.50
  4. Step 4: Simplify right side
    301,825.50x = 409,116,942,506.25
  5. Step 5: Solve for x
    x = 409,116,942,506.25/301,825.50
  6. Step 6: Final answer
    x = 1,355,475.08

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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.