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Finding the Third Proportional to 345,096 and 706,923

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Solution

The third proportional to 345,096 and 706,923 is: 1,448,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,096 : 706,923 = 706,923 : x
  2. Step 2: Convert to fraction form
    345,096/706,923 = 706,923/x
  3. Step 3: Cross multiply
    345,096x = 706,923 × 706,923
  4. Step 4: Simplify right side
    345,096x = 499,740,127,929
  5. Step 5: Solve for x
    x = 499,740,127,929/345,096
  6. Step 6: Final answer
    x = 1,448,119.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.