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Finding the Third Proportional to 301,094.81 and 443,325.56

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Solution

The third proportional to 301,094.81 and 443,325.56 is: 652,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,094.81 : 443,325.56 = 443,325.56 : x
  2. Step 2: Convert to fraction form
    301,094.81/443,325.56 = 443,325.56/x
  3. Step 3: Cross multiply
    301,094.81x = 443,325.56 × 443,325.56
  4. Step 4: Simplify right side
    301,094.81x = 196,537,554,365.94
  5. Step 5: Solve for x
    x = 196,537,554,365.94/301,094.81
  6. Step 6: Final answer
    x = 652,743.08

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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.