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Finding the Third Proportional to 407,680 and 959,243

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Solution

The third proportional to 407,680 and 959,243 is: 2,257,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,680 : 959,243 = 959,243 : x
  2. Step 2: Convert to fraction form
    407,680/959,243 = 959,243/x
  3. Step 3: Cross multiply
    407,680x = 959,243 × 959,243
  4. Step 4: Simplify right side
    407,680x = 920,147,133,049
  5. Step 5: Solve for x
    x = 920,147,133,049/407,680
  6. Step 6: Final answer
    x = 2,257,032.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.