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Finding the Third Proportional to 623,960 and 892,294

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Solution

The third proportional to 623,960 and 892,294 is: 1,276,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,960 : 892,294 = 892,294 : x
  2. Step 2: Convert to fraction form
    623,960/892,294 = 892,294/x
  3. Step 3: Cross multiply
    623,960x = 892,294 × 892,294
  4. Step 4: Simplify right side
    623,960x = 796,188,582,436
  5. Step 5: Solve for x
    x = 796,188,582,436/623,960
  6. Step 6: Final answer
    x = 1,276,025.04

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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.