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Finding the Third Proportional to 479,640 and 692,941

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Solution

The third proportional to 479,640 and 692,941 is: 1,001,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,640 : 692,941 = 692,941 : x
  2. Step 2: Convert to fraction form
    479,640/692,941 = 692,941/x
  3. Step 3: Cross multiply
    479,640x = 692,941 × 692,941
  4. Step 4: Simplify right side
    479,640x = 480,167,229,481
  5. Step 5: Solve for x
    x = 480,167,229,481/479,640
  6. Step 6: Final answer
    x = 1,001,099.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.