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Finding the Third Proportional to 454,077 and 703,049

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Solution

The third proportional to 454,077 and 703,049 is: 1,088,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,077 : 703,049 = 703,049 : x
  2. Step 2: Convert to fraction form
    454,077/703,049 = 703,049/x
  3. Step 3: Cross multiply
    454,077x = 703,049 × 703,049
  4. Step 4: Simplify right side
    454,077x = 494,277,896,401
  5. Step 5: Solve for x
    x = 494,277,896,401/454,077
  6. Step 6: Final answer
    x = 1,088,533.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.