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Finding the Third Proportional to 376,354 and 550,707

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Solution

The third proportional to 376,354 and 550,707 is: 805,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,354 : 550,707 = 550,707 : x
  2. Step 2: Convert to fraction form
    376,354/550,707 = 550,707/x
  3. Step 3: Cross multiply
    376,354x = 550,707 × 550,707
  4. Step 4: Simplify right side
    376,354x = 303,278,199,849
  5. Step 5: Solve for x
    x = 303,278,199,849/376,354
  6. Step 6: Final answer
    x = 805,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.