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Finding the Third Proportional to 623,964 and 892,302

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Solution

The third proportional to 623,964 and 892,302 is: 1,276,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,964 : 892,302 = 892,302 : x
  2. Step 2: Convert to fraction form
    623,964/892,302 = 892,302/x
  3. Step 3: Cross multiply
    623,964x = 892,302 × 892,302
  4. Step 4: Simplify right side
    623,964x = 796,202,859,204
  5. Step 5: Solve for x
    x = 796,202,859,204/623,964
  6. Step 6: Final answer
    x = 1,276,039.74

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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.