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Finding the Third Proportional to 263,023 and 575,249

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Solution

The third proportional to 263,023 and 575,249 is: 1,258,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,023 : 575,249 = 575,249 : x
  2. Step 2: Convert to fraction form
    263,023/575,249 = 575,249/x
  3. Step 3: Cross multiply
    263,023x = 575,249 × 575,249
  4. Step 4: Simplify right side
    263,023x = 330,911,412,001
  5. Step 5: Solve for x
    x = 330,911,412,001/263,023
  6. Step 6: Final answer
    x = 1,258,108.27

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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.