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Finding the Third Proportional to 324,494 and 696,964

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Solution

The third proportional to 324,494 and 696,964 is: 1,496,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,494 : 696,964 = 696,964 : x
  2. Step 2: Convert to fraction form
    324,494/696,964 = 696,964/x
  3. Step 3: Cross multiply
    324,494x = 696,964 × 696,964
  4. Step 4: Simplify right side
    324,494x = 485,758,817,296
  5. Step 5: Solve for x
    x = 485,758,817,296/324,494
  6. Step 6: Final answer
    x = 1,496,973.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.