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Finding the Third Proportional to 263,898 and 575,158

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Solution

The third proportional to 263,898 and 575,158 is: 1,253,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,898 : 575,158 = 575,158 : x
  2. Step 2: Convert to fraction form
    263,898/575,158 = 575,158/x
  3. Step 3: Cross multiply
    263,898x = 575,158 × 575,158
  4. Step 4: Simplify right side
    263,898x = 330,806,724,964
  5. Step 5: Solve for x
    x = 330,806,724,964/263,898
  6. Step 6: Final answer
    x = 1,253,540.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.