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Finding the Third Proportional to 244,692 and 376,224

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Solution

The third proportional to 244,692 and 376,224 is: 578,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,692 : 376,224 = 376,224 : x
  2. Step 2: Convert to fraction form
    244,692/376,224 = 376,224/x
  3. Step 3: Cross multiply
    244,692x = 376,224 × 376,224
  4. Step 4: Simplify right side
    244,692x = 141,544,498,176
  5. Step 5: Solve for x
    x = 141,544,498,176/244,692
  6. Step 6: Final answer
    x = 578,459.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.