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Finding the Third Proportional to 348,286 and 711,331

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Solution

The third proportional to 348,286 and 711,331 is: 1,452,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,286 : 711,331 = 711,331 : x
  2. Step 2: Convert to fraction form
    348,286/711,331 = 711,331/x
  3. Step 3: Cross multiply
    348,286x = 711,331 × 711,331
  4. Step 4: Simplify right side
    348,286x = 505,991,791,561
  5. Step 5: Solve for x
    x = 505,991,791,561/348,286
  6. Step 6: Final answer
    x = 1,452,805.43

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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.