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Finding the Third Proportional to 446,756 and 680,664

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Solution

The third proportional to 446,756 and 680,664 is: 1,037,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,756 : 680,664 = 680,664 : x
  2. Step 2: Convert to fraction form
    446,756/680,664 = 680,664/x
  3. Step 3: Cross multiply
    446,756x = 680,664 × 680,664
  4. Step 4: Simplify right side
    446,756x = 463,303,480,896
  5. Step 5: Solve for x
    x = 463,303,480,896/446,756
  6. Step 6: Final answer
    x = 1,037,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.