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Finding the Third Proportional to 305,289 and 446,998.50

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Solution

The third proportional to 305,289 and 446,998.50 is: 654,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,289 : 446,998.50 = 446,998.50 : x
  2. Step 2: Convert to fraction form
    305,289/446,998.50 = 446,998.50/x
  3. Step 3: Cross multiply
    305,289x = 446,998.50 × 446,998.50
  4. Step 4: Simplify right side
    305,289x = 199,807,659,002.25
  5. Step 5: Solve for x
    x = 199,807,659,002.25/305,289
  6. Step 6: Final answer
    x = 654,486.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.