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Finding the Third Proportional to 270,819 and 586,836

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Solution

The third proportional to 270,819 and 586,836 is: 1,271,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,819 : 586,836 = 586,836 : x
  2. Step 2: Convert to fraction form
    270,819/586,836 = 586,836/x
  3. Step 3: Cross multiply
    270,819x = 586,836 × 586,836
  4. Step 4: Simplify right side
    270,819x = 344,376,490,896
  5. Step 5: Solve for x
    x = 344,376,490,896/270,819
  6. Step 6: Final answer
    x = 1,271,611.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.