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Finding the Third Proportional to 476,635 and 666,673

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Solution

The third proportional to 476,635 and 666,673 is: 932,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,635 : 666,673 = 666,673 : x
  2. Step 2: Convert to fraction form
    476,635/666,673 = 666,673/x
  3. Step 3: Cross multiply
    476,635x = 666,673 × 666,673
  4. Step 4: Simplify right side
    476,635x = 444,452,888,929
  5. Step 5: Solve for x
    x = 444,452,888,929/476,635
  6. Step 6: Final answer
    x = 932,480.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.