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Finding the Third Proportional to 348,289 and 711,336

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Solution

The third proportional to 348,289 and 711,336 is: 1,452,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,289 : 711,336 = 711,336 : x
  2. Step 2: Convert to fraction form
    348,289/711,336 = 711,336/x
  3. Step 3: Cross multiply
    348,289x = 711,336 × 711,336
  4. Step 4: Simplify right side
    348,289x = 505,998,904,896
  5. Step 5: Solve for x
    x = 505,998,904,896/348,289
  6. Step 6: Final answer
    x = 1,452,813.34

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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.