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Finding the Third Proportional to 444,452 and 677,613

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Solution

The third proportional to 444,452 and 677,613 is: 1,033,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,452 : 677,613 = 677,613 : x
  2. Step 2: Convert to fraction form
    444,452/677,613 = 677,613/x
  3. Step 3: Cross multiply
    444,452x = 677,613 × 677,613
  4. Step 4: Simplify right side
    444,452x = 459,159,377,769
  5. Step 5: Solve for x
    x = 459,159,377,769/444,452
  6. Step 6: Final answer
    x = 1,033,091.04

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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.