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Finding the Third Proportional to 377,396 and 606,003

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Solution

The third proportional to 377,396 and 606,003 is: 973,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,396 : 606,003 = 606,003 : x
  2. Step 2: Convert to fraction form
    377,396/606,003 = 606,003/x
  3. Step 3: Cross multiply
    377,396x = 606,003 × 606,003
  4. Step 4: Simplify right side
    377,396x = 367,239,636,009
  5. Step 5: Solve for x
    x = 367,239,636,009/377,396
  6. Step 6: Final answer
    x = 973,088.31

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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.