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Finding the Third Proportional to 395,960 and 880,264

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Solution

The third proportional to 395,960 and 880,264 is: 1,956,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,960 : 880,264 = 880,264 : x
  2. Step 2: Convert to fraction form
    395,960/880,264 = 880,264/x
  3. Step 3: Cross multiply
    395,960x = 880,264 × 880,264
  4. Step 4: Simplify right side
    395,960x = 774,864,709,696
  5. Step 5: Solve for x
    x = 774,864,709,696/395,960
  6. Step 6: Final answer
    x = 1,956,926.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.