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Finding the Third Proportional to 301,807.69 and 639,598.78

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Solution

The third proportional to 301,807.69 and 639,598.78 is: 1,355,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,807.69 : 639,598.78 = 639,598.78 : x
  2. Step 2: Convert to fraction form
    301,807.69/639,598.78 = 639,598.78/x
  3. Step 3: Cross multiply
    301,807.69x = 639,598.78 × 639,598.78
  4. Step 4: Simplify right side
    301,807.69x = 409,086,600,976.49
  5. Step 5: Solve for x
    x = 409,086,600,976.49/301,807.69
  6. Step 6: Final answer
    x = 1,355,454.54

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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.