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Finding the Third Proportional to 328,958 and 683,773

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Solution

The third proportional to 328,958 and 683,773 is: 1,421,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,958 : 683,773 = 683,773 : x
  2. Step 2: Convert to fraction form
    328,958/683,773 = 683,773/x
  3. Step 3: Cross multiply
    328,958x = 683,773 × 683,773
  4. Step 4: Simplify right side
    328,958x = 467,545,515,529
  5. Step 5: Solve for x
    x = 467,545,515,529/328,958
  6. Step 6: Final answer
    x = 1,421,292.43

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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.