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Finding the Third Proportional to 263,848 and 586,752

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Solution

The third proportional to 263,848 and 586,752 is: 1,304,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,848 : 586,752 = 586,752 : x
  2. Step 2: Convert to fraction form
    263,848/586,752 = 586,752/x
  3. Step 3: Cross multiply
    263,848x = 586,752 × 586,752
  4. Step 4: Simplify right side
    263,848x = 344,277,909,504
  5. Step 5: Solve for x
    x = 344,277,909,504/263,848
  6. Step 6: Final answer
    x = 1,304,834.26

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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.