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Finding the Third Proportional to 459,792 and 694,116

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Solution

The third proportional to 459,792 and 694,116 is: 1,047,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,792 : 694,116 = 694,116 : x
  2. Step 2: Convert to fraction form
    459,792/694,116 = 694,116/x
  3. Step 3: Cross multiply
    459,792x = 694,116 × 694,116
  4. Step 4: Simplify right side
    459,792x = 481,797,021,456
  5. Step 5: Solve for x
    x = 481,797,021,456/459,792
  6. Step 6: Final answer
    x = 1,047,858.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.