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Finding the Third Proportional to 365,938 and 792,964

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Solution

The third proportional to 365,938 and 792,964 is: 1,718,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,938 : 792,964 = 792,964 : x
  2. Step 2: Convert to fraction form
    365,938/792,964 = 792,964/x
  3. Step 3: Cross multiply
    365,938x = 792,964 × 792,964
  4. Step 4: Simplify right side
    365,938x = 628,791,905,296
  5. Step 5: Solve for x
    x = 628,791,905,296/365,938
  6. Step 6: Final answer
    x = 1,718,301.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.