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Finding the Third Proportional to 305,520 and 671,224

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Solution

The third proportional to 305,520 and 671,224 is: 1,474,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,520 : 671,224 = 671,224 : x
  2. Step 2: Convert to fraction form
    305,520/671,224 = 671,224/x
  3. Step 3: Cross multiply
    305,520x = 671,224 × 671,224
  4. Step 4: Simplify right side
    305,520x = 450,541,658,176
  5. Step 5: Solve for x
    x = 450,541,658,176/305,520
  6. Step 6: Final answer
    x = 1,474,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.