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Finding the Third Proportional to 321,964 and 703,760

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Solution

The third proportional to 321,964 and 703,760 is: 1,538,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,964 : 703,760 = 703,760 : x
  2. Step 2: Convert to fraction form
    321,964/703,760 = 703,760/x
  3. Step 3: Cross multiply
    321,964x = 703,760 × 703,760
  4. Step 4: Simplify right side
    321,964x = 495,278,137,600
  5. Step 5: Solve for x
    x = 495,278,137,600/321,964
  6. Step 6: Final answer
    x = 1,538,302.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.