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Finding the Third Proportional to 263,974 and 586,844

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Solution

The third proportional to 263,974 and 586,844 is: 1,304,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,974 : 586,844 = 586,844 : x
  2. Step 2: Convert to fraction form
    263,974/586,844 = 586,844/x
  3. Step 3: Cross multiply
    263,974x = 586,844 × 586,844
  4. Step 4: Simplify right side
    263,974x = 344,385,880,336
  5. Step 5: Solve for x
    x = 344,385,880,336/263,974
  6. Step 6: Final answer
    x = 1,304,620.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.