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Finding the Third Proportional to 624,396 and 892,248

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Solution

The third proportional to 624,396 and 892,248 is: 1,275,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,396 : 892,248 = 892,248 : x
  2. Step 2: Convert to fraction form
    624,396/892,248 = 892,248/x
  3. Step 3: Cross multiply
    624,396x = 892,248 × 892,248
  4. Step 4: Simplify right side
    624,396x = 796,106,493,504
  5. Step 5: Solve for x
    x = 796,106,493,504/624,396
  6. Step 6: Final answer
    x = 1,275,002.55

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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.