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Finding the Third Proportional to 623,963 and 892,299

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Solution

The third proportional to 623,963 and 892,299 is: 1,276,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,963 : 892,299 = 892,299 : x
  2. Step 2: Convert to fraction form
    623,963/892,299 = 892,299/x
  3. Step 3: Cross multiply
    623,963x = 892,299 × 892,299
  4. Step 4: Simplify right side
    623,963x = 796,197,505,401
  5. Step 5: Solve for x
    x = 796,197,505,401/623,963
  6. Step 6: Final answer
    x = 1,276,033.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.