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Finding the Third Proportional to 472,756.50 and 985,401

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Solution

The third proportional to 472,756.50 and 985,401 is: 2,053,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.50 : 985,401 = 985,401 : x
  2. Step 2: Convert to fraction form
    472,756.50/985,401 = 985,401/x
  3. Step 3: Cross multiply
    472,756.50x = 985,401 × 985,401
  4. Step 4: Simplify right side
    472,756.50x = 971,015,130,801
  5. Step 5: Solve for x
    x = 971,015,130,801/472,756.50
  6. Step 6: Final answer
    x = 2,053,943.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.