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Finding the Third Proportional to 333,654 and 694,950

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Solution

The third proportional to 333,654 and 694,950 is: 1,447,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,654 : 694,950 = 694,950 : x
  2. Step 2: Convert to fraction form
    333,654/694,950 = 694,950/x
  3. Step 3: Cross multiply
    333,654x = 694,950 × 694,950
  4. Step 4: Simplify right side
    333,654x = 482,955,502,500
  5. Step 5: Solve for x
    x = 482,955,502,500/333,654
  6. Step 6: Final answer
    x = 1,447,474.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.