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Finding the Third Proportional to 301,147 and 401,479.50

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Solution

The third proportional to 301,147 and 401,479.50 is: 535,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,147 : 401,479.50 = 401,479.50 : x
  2. Step 2: Convert to fraction form
    301,147/401,479.50 = 401,479.50/x
  3. Step 3: Cross multiply
    301,147x = 401,479.50 × 401,479.50
  4. Step 4: Simplify right side
    301,147x = 161,185,788,920.25
  5. Step 5: Solve for x
    x = 161,185,788,920.25/301,147
  6. Step 6: Final answer
    x = 535,239.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.