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Finding the Third Proportional to 301,152.94 and 401,491.69

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Solution

The third proportional to 301,152.94 and 401,491.69 is: 535,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,152.94 : 401,491.69 = 401,491.69 : x
  2. Step 2: Convert to fraction form
    301,152.94/401,491.69 = 401,491.69/x
  3. Step 3: Cross multiply
    301,152.94x = 401,491.69 × 401,491.69
  4. Step 4: Simplify right side
    301,152.94x = 161,195,575,131.60
  5. Step 5: Solve for x
    x = 161,195,575,131.60/301,152.94
  6. Step 6: Final answer
    x = 535,261.51

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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.