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Finding the Third Proportional to 464,576 and 984,975

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Solution

The third proportional to 464,576 and 984,975 is: 2,088,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,576 : 984,975 = 984,975 : x
  2. Step 2: Convert to fraction form
    464,576/984,975 = 984,975/x
  3. Step 3: Cross multiply
    464,576x = 984,975 × 984,975
  4. Step 4: Simplify right side
    464,576x = 970,175,750,625
  5. Step 5: Solve for x
    x = 970,175,750,625/464,576
  6. Step 6: Final answer
    x = 2,088,303.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.