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Finding the Third Proportional to 364,401 and 752,144

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Solution

The third proportional to 364,401 and 752,144 is: 1,552,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,401 : 752,144 = 752,144 : x
  2. Step 2: Convert to fraction form
    364,401/752,144 = 752,144/x
  3. Step 3: Cross multiply
    364,401x = 752,144 × 752,144
  4. Step 4: Simplify right side
    364,401x = 565,720,596,736
  5. Step 5: Solve for x
    x = 565,720,596,736/364,401
  6. Step 6: Final answer
    x = 1,552,467.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.