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Finding the Third Proportional to 265,896 and 581,856

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Solution

The third proportional to 265,896 and 581,856 is: 1,273,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,896 : 581,856 = 581,856 : x
  2. Step 2: Convert to fraction form
    265,896/581,856 = 581,856/x
  3. Step 3: Cross multiply
    265,896x = 581,856 × 581,856
  4. Step 4: Simplify right side
    265,896x = 338,556,404,736
  5. Step 5: Solve for x
    x = 338,556,404,736/265,896
  6. Step 6: Final answer
    x = 1,273,266.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.