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Finding the Third Proportional to 301,437 and 401,835.38

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Solution

The third proportional to 301,437 and 401,835.38 is: 535,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,437 : 401,835.38 = 401,835.38 : x
  2. Step 2: Convert to fraction form
    301,437/401,835.38 = 401,835.38/x
  3. Step 3: Cross multiply
    301,437x = 401,835.38 × 401,835.38
  4. Step 4: Simplify right side
    301,437x = 161,471,668,601.39
  5. Step 5: Solve for x
    x = 161,471,668,601.39/301,437
  6. Step 6: Final answer
    x = 535,673.02

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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.