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Finding the Third Proportional to 350,896 and 714,505

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Solution

The third proportional to 350,896 and 714,505 is: 1,454,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,896 : 714,505 = 714,505 : x
  2. Step 2: Convert to fraction form
    350,896/714,505 = 714,505/x
  3. Step 3: Cross multiply
    350,896x = 714,505 × 714,505
  4. Step 4: Simplify right side
    350,896x = 510,517,395,025
  5. Step 5: Solve for x
    x = 510,517,395,025/350,896
  6. Step 6: Final answer
    x = 1,454,896.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.