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Finding the Third Proportional to 447,085 and 676,406

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Solution

The third proportional to 447,085 and 676,406 is: 1,023,351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,085 : 676,406 = 676,406 : x
  2. Step 2: Convert to fraction form
    447,085/676,406 = 676,406/x
  3. Step 3: Cross multiply
    447,085x = 676,406 × 676,406
  4. Step 4: Simplify right side
    447,085x = 457,525,076,836
  5. Step 5: Solve for x
    x = 457,525,076,836/447,085
  6. Step 6: Final answer
    x = 1,023,351.44

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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.