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Finding the Third Proportional to 301,164 and 443,418

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Solution

The third proportional to 301,164 and 443,418 is: 652,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,164 : 443,418 = 443,418 : x
  2. Step 2: Convert to fraction form
    301,164/443,418 = 443,418/x
  3. Step 3: Cross multiply
    301,164x = 443,418 × 443,418
  4. Step 4: Simplify right side
    301,164x = 196,619,522,724
  5. Step 5: Solve for x
    x = 196,619,522,724/301,164
  6. Step 6: Final answer
    x = 652,865.29

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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.