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Finding the Third Proportional to 465,533.25 and 999,963

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Solution

The third proportional to 465,533.25 and 999,963 is: 2,147,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,533.25 : 999,963 = 999,963 : x
  2. Step 2: Convert to fraction form
    465,533.25/999,963 = 999,963/x
  3. Step 3: Cross multiply
    465,533.25x = 999,963 × 999,963
  4. Step 4: Simplify right side
    465,533.25x = 999,926,001,369
  5. Step 5: Solve for x
    x = 999,926,001,369/465,533.25
  6. Step 6: Final answer
    x = 2,147,915.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.