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Finding the Third Proportional to 335,664 and 733,248

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Solution

The third proportional to 335,664 and 733,248 is: 1,601,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,664 : 733,248 = 733,248 : x
  2. Step 2: Convert to fraction form
    335,664/733,248 = 733,248/x
  3. Step 3: Cross multiply
    335,664x = 733,248 × 733,248
  4. Step 4: Simplify right side
    335,664x = 537,652,629,504
  5. Step 5: Solve for x
    x = 537,652,629,504/335,664
  6. Step 6: Final answer
    x = 1,601,758.39

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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.