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Finding the Third Proportional to 447,365 and 677,563

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Solution

The third proportional to 447,365 and 677,563 is: 1,026,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,365 : 677,563 = 677,563 : x
  2. Step 2: Convert to fraction form
    447,365/677,563 = 677,563/x
  3. Step 3: Cross multiply
    447,365x = 677,563 × 677,563
  4. Step 4: Simplify right side
    447,365x = 459,091,618,969
  5. Step 5: Solve for x
    x = 459,091,618,969/447,365
  6. Step 6: Final answer
    x = 1,026,212.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.