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Finding the Third Proportional to 304,920 and 809,361

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Solution

The third proportional to 304,920 and 809,361 is: 2,148,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,920 : 809,361 = 809,361 : x
  2. Step 2: Convert to fraction form
    304,920/809,361 = 809,361/x
  3. Step 3: Cross multiply
    304,920x = 809,361 × 809,361
  4. Step 4: Simplify right side
    304,920x = 655,065,228,321
  5. Step 5: Solve for x
    x = 655,065,228,321/304,920
  6. Step 6: Final answer
    x = 2,148,318.34

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.