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Finding the Third Proportional to 301,084.50 and 443,310

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Solution

The third proportional to 301,084.50 and 443,310 is: 652,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,084.50 : 443,310 = 443,310 : x
  2. Step 2: Convert to fraction form
    301,084.50/443,310 = 443,310/x
  3. Step 3: Cross multiply
    301,084.50x = 443,310 × 443,310
  4. Step 4: Simplify right side
    301,084.50x = 196,523,756,100
  5. Step 5: Solve for x
    x = 196,523,756,100/301,084.50
  6. Step 6: Final answer
    x = 652,719.61

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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.