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Finding the Third Proportional to 174,419 and 376,712

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Solution

The third proportional to 174,419 and 376,712 is: 813,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,419 : 376,712 = 376,712 : x
  2. Step 2: Convert to fraction form
    174,419/376,712 = 376,712/x
  3. Step 3: Cross multiply
    174,419x = 376,712 × 376,712
  4. Step 4: Simplify right side
    174,419x = 141,911,930,944
  5. Step 5: Solve for x
    x = 141,911,930,944/174,419
  6. Step 6: Final answer
    x = 813,626.56

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Why These Related Problems?

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