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Finding the Third Proportional to 333,990 and 737,964

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Solution

The third proportional to 333,990 and 737,964 is: 1,630,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,990 : 737,964 = 737,964 : x
  2. Step 2: Convert to fraction form
    333,990/737,964 = 737,964/x
  3. Step 3: Cross multiply
    333,990x = 737,964 × 737,964
  4. Step 4: Simplify right side
    333,990x = 544,590,865,296
  5. Step 5: Solve for x
    x = 544,590,865,296/333,990
  6. Step 6: Final answer
    x = 1,630,560.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.