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Finding the Third Proportional to 262,450.13 and 401,970.09

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Solution

The third proportional to 262,450.13 and 401,970.09 is: 615,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,450.13 : 401,970.09 = 401,970.09 : x
  2. Step 2: Convert to fraction form
    262,450.13/401,970.09 = 401,970.09/x
  3. Step 3: Cross multiply
    262,450.13x = 401,970.09 × 401,970.09
  4. Step 4: Simplify right side
    262,450.13x = 161,579,956,269.38
  5. Step 5: Solve for x
    x = 161,579,956,269.38/262,450.13
  6. Step 6: Final answer
    x = 615,659.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.