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Finding the Third Proportional to 405,226.13 and 873,298.13

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Solution

The third proportional to 405,226.13 and 873,298.13 is: 1,882,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,226.13 : 873,298.13 = 873,298.13 : x
  2. Step 2: Convert to fraction form
    405,226.13/873,298.13 = 873,298.13/x
  3. Step 3: Cross multiply
    405,226.13x = 873,298.13 × 873,298.13
  4. Step 4: Simplify right side
    405,226.13x = 762,649,615,128.52
  5. Step 5: Solve for x
    x = 762,649,615,128.52/405,226.13
  6. Step 6: Final answer
    x = 1,882,034.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.