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Finding the Third Proportional to 345,361.22 and 707,838.75

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Solution

The third proportional to 345,361.22 and 707,838.75 is: 1,450,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,361.22 : 707,838.75 = 707,838.75 : x
  2. Step 2: Convert to fraction form
    345,361.22/707,838.75 = 707,838.75/x
  3. Step 3: Cross multiply
    345,361.22x = 707,838.75 × 707,838.75
  4. Step 4: Simplify right side
    345,361.22x = 501,035,696,001.56
  5. Step 5: Solve for x
    x = 501,035,696,001.56/345,361.22
  6. Step 6: Final answer
    x = 1,450,758.42

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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.