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Finding the Third Proportional to 447,375 and 677,577

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Solution

The third proportional to 447,375 and 677,577 is: 1,026,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,375 : 677,577 = 677,577 : x
  2. Step 2: Convert to fraction form
    447,375/677,577 = 677,577/x
  3. Step 3: Cross multiply
    447,375x = 677,577 × 677,577
  4. Step 4: Simplify right side
    447,375x = 459,110,590,929
  5. Step 5: Solve for x
    x = 459,110,590,929/447,375
  6. Step 6: Final answer
    x = 1,026,232.11

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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.