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Finding the Third Proportional to 342,792 and 793,455

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Solution

The third proportional to 342,792 and 793,455 is: 1,836,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,792 : 793,455 = 793,455 : x
  2. Step 2: Convert to fraction form
    342,792/793,455 = 793,455/x
  3. Step 3: Cross multiply
    342,792x = 793,455 × 793,455
  4. Step 4: Simplify right side
    342,792x = 629,570,837,025
  5. Step 5: Solve for x
    x = 629,570,837,025/342,792
  6. Step 6: Final answer
    x = 1,836,597.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.