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Finding the Third Proportional to 377,398 and 606,006

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Solution

The third proportional to 377,398 and 606,006 is: 973,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,398 : 606,006 = 606,006 : x
  2. Step 2: Convert to fraction form
    377,398/606,006 = 606,006/x
  3. Step 3: Cross multiply
    377,398x = 606,006 × 606,006
  4. Step 4: Simplify right side
    377,398x = 367,243,272,036
  5. Step 5: Solve for x
    x = 367,243,272,036/377,398
  6. Step 6: Final answer
    x = 973,092.79

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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.