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Finding the Third Proportional to 447,374 and 677,576

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Solution

The third proportional to 447,374 and 677,576 is: 1,026,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,374 : 677,576 = 677,576 : x
  2. Step 2: Convert to fraction form
    447,374/677,576 = 677,576/x
  3. Step 3: Cross multiply
    447,374x = 677,576 × 677,576
  4. Step 4: Simplify right side
    447,374x = 459,109,235,776
  5. Step 5: Solve for x
    x = 459,109,235,776/447,374
  6. Step 6: Final answer
    x = 1,026,231.38

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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.