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Finding the Third Proportional to 263,097 and 578,682

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Solution

The third proportional to 263,097 and 578,682 is: 1,272,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,097 : 578,682 = 578,682 : x
  2. Step 2: Convert to fraction form
    263,097/578,682 = 578,682/x
  3. Step 3: Cross multiply
    263,097x = 578,682 × 578,682
  4. Step 4: Simplify right side
    263,097x = 334,872,857,124
  5. Step 5: Solve for x
    x = 334,872,857,124/263,097
  6. Step 6: Final answer
    x = 1,272,811.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.