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Finding the Third Proportional to 377,401 and 606,011

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Solution

The third proportional to 377,401 and 606,011 is: 973,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,401 : 606,011 = 606,011 : x
  2. Step 2: Convert to fraction form
    377,401/606,011 = 606,011/x
  3. Step 3: Cross multiply
    377,401x = 606,011 × 606,011
  4. Step 4: Simplify right side
    377,401x = 367,249,332,121
  5. Step 5: Solve for x
    x = 367,249,332,121/377,401
  6. Step 6: Final answer
    x = 973,101.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.