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Finding the Third Proportional to 489,907.50 and 999,497.25

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Solution

The third proportional to 489,907.50 and 999,497.25 is: 2,039,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,907.50 : 999,497.25 = 999,497.25 : x
  2. Step 2: Convert to fraction form
    489,907.50/999,497.25 = 999,497.25/x
  3. Step 3: Cross multiply
    489,907.50x = 999,497.25 × 999,497.25
  4. Step 4: Simplify right side
    489,907.50x = 998,994,752,757.56
  5. Step 5: Solve for x
    x = 998,994,752,757.56/489,907.50
  6. Step 6: Final answer
    x = 2,039,149.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.