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Finding the Third Proportional to 174,408 and 376,690

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Solution

The third proportional to 174,408 and 376,690 is: 813,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,408 : 376,690 = 376,690 : x
  2. Step 2: Convert to fraction form
    174,408/376,690 = 376,690/x
  3. Step 3: Cross multiply
    174,408x = 376,690 × 376,690
  4. Step 4: Simplify right side
    174,408x = 141,895,356,100
  5. Step 5: Solve for x
    x = 141,895,356,100/174,408
  6. Step 6: Final answer
    x = 813,582.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.