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Finding the Third Proportional to 446,616 and 670,005

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Solution

The third proportional to 446,616 and 670,005 is: 1,005,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,616 : 670,005 = 670,005 : x
  2. Step 2: Convert to fraction form
    446,616/670,005 = 670,005/x
  3. Step 3: Cross multiply
    446,616x = 670,005 × 670,005
  4. Step 4: Simplify right side
    446,616x = 448,906,700,025
  5. Step 5: Solve for x
    x = 448,906,700,025/446,616
  6. Step 6: Final answer
    x = 1,005,129.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.