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Finding the Third Proportional to 446,536 and 669,886

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Solution

The third proportional to 446,536 and 669,886 is: 1,004,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,536 : 669,886 = 669,886 : x
  2. Step 2: Convert to fraction form
    446,536/669,886 = 669,886/x
  3. Step 3: Cross multiply
    446,536x = 669,886 × 669,886
  4. Step 4: Simplify right side
    446,536x = 448,747,252,996
  5. Step 5: Solve for x
    x = 448,747,252,996/446,536
  6. Step 6: Final answer
    x = 1,004,952.02

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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.