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Finding the Third Proportional to 441,409.50 and 970,299

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Solution

The third proportional to 441,409.50 and 970,299 is: 2,132,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,409.50 : 970,299 = 970,299 : x
  2. Step 2: Convert to fraction form
    441,409.50/970,299 = 970,299/x
  3. Step 3: Cross multiply
    441,409.50x = 970,299 × 970,299
  4. Step 4: Simplify right side
    441,409.50x = 941,480,149,401
  5. Step 5: Solve for x
    x = 941,480,149,401/441,409.50
  6. Step 6: Final answer
    x = 2,132,895.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.