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Finding the Third Proportional to 263,024 and 575,251

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Solution

The third proportional to 263,024 and 575,251 is: 1,258,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,024 : 575,251 = 575,251 : x
  2. Step 2: Convert to fraction form
    263,024/575,251 = 575,251/x
  3. Step 3: Cross multiply
    263,024x = 575,251 × 575,251
  4. Step 4: Simplify right side
    263,024x = 330,913,713,001
  5. Step 5: Solve for x
    x = 330,913,713,001/263,024
  6. Step 6: Final answer
    x = 1,258,112.24

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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.