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Finding the Third Proportional to 439,324 and 959,216

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Solution

The third proportional to 439,324 and 959,216 is: 2,094,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,324 : 959,216 = 959,216 : x
  2. Step 2: Convert to fraction form
    439,324/959,216 = 959,216/x
  3. Step 3: Cross multiply
    439,324x = 959,216 × 959,216
  4. Step 4: Simplify right side
    439,324x = 920,095,334,656
  5. Step 5: Solve for x
    x = 920,095,334,656/439,324
  6. Step 6: Final answer
    x = 2,094,343.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.