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Finding the Third Proportional to 343,977.75 and 809,361

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Solution

The third proportional to 343,977.75 and 809,361 is: 1,904,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,977.75 : 809,361 = 809,361 : x
  2. Step 2: Convert to fraction form
    343,977.75/809,361 = 809,361/x
  3. Step 3: Cross multiply
    343,977.75x = 809,361 × 809,361
  4. Step 4: Simplify right side
    343,977.75x = 655,065,228,321
  5. Step 5: Solve for x
    x = 655,065,228,321/343,977.75
  6. Step 6: Final answer
    x = 1,904,382.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.