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Finding the Third Proportional to 301,119.19 and 443,359.69

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Solution

The third proportional to 301,119.19 and 443,359.69 is: 652,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,119.19 : 443,359.69 = 443,359.69 : x
  2. Step 2: Convert to fraction form
    301,119.19/443,359.69 = 443,359.69/x
  3. Step 3: Cross multiply
    301,119.19x = 443,359.69 × 443,359.69
  4. Step 4: Simplify right side
    301,119.19x = 196,567,812,500.10
  5. Step 5: Solve for x
    x = 196,567,812,500.10/301,119.19
  6. Step 6: Final answer
    x = 652,790.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.