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Finding the Third Proportional to 263,024 and 575,267

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Solution

The third proportional to 263,024 and 575,267 is: 1,258,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,024 : 575,267 = 575,267 : x
  2. Step 2: Convert to fraction form
    263,024/575,267 = 575,267/x
  3. Step 3: Cross multiply
    263,024x = 575,267 × 575,267
  4. Step 4: Simplify right side
    263,024x = 330,932,121,289
  5. Step 5: Solve for x
    x = 330,932,121,289/263,024
  6. Step 6: Final answer
    x = 1,258,182.22

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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.