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Finding the Third Proportional to 280,738 and 364,251

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Solution

The third proportional to 280,738 and 364,251 is: 472,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,738 : 364,251 = 364,251 : x
  2. Step 2: Convert to fraction form
    280,738/364,251 = 364,251/x
  3. Step 3: Cross multiply
    280,738x = 364,251 × 364,251
  4. Step 4: Simplify right side
    280,738x = 132,678,791,001
  5. Step 5: Solve for x
    x = 132,678,791,001/280,738
  6. Step 6: Final answer
    x = 472,607.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.