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Finding the Third Proportional to 323,274 and 703,518

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Solution

The third proportional to 323,274 and 703,518 is: 1,531,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,274 : 703,518 = 703,518 : x
  2. Step 2: Convert to fraction form
    323,274/703,518 = 703,518/x
  3. Step 3: Cross multiply
    323,274x = 703,518 × 703,518
  4. Step 4: Simplify right side
    323,274x = 494,937,576,324
  5. Step 5: Solve for x
    x = 494,937,576,324/323,274
  6. Step 6: Final answer
    x = 1,531,015.72

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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.