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Finding the Third Proportional to 301,833.75 and 639,639.75

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Solution

The third proportional to 301,833.75 and 639,639.75 is: 1,355,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,833.75 : 639,639.75 = 639,639.75 : x
  2. Step 2: Convert to fraction form
    301,833.75/639,639.75 = 639,639.75/x
  3. Step 3: Cross multiply
    301,833.75x = 639,639.75 × 639,639.75
  4. Step 4: Simplify right side
    301,833.75x = 409,139,009,780.06
  5. Step 5: Solve for x
    x = 409,139,009,780.06/301,833.75
  6. Step 6: Final answer
    x = 1,355,511.14

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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.