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Finding the Third Proportional to 263,025 and 575,269

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Solution

The third proportional to 263,025 and 575,269 is: 1,258,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,025 : 575,269 = 575,269 : x
  2. Step 2: Convert to fraction form
    263,025/575,269 = 575,269/x
  3. Step 3: Cross multiply
    263,025x = 575,269 × 575,269
  4. Step 4: Simplify right side
    263,025x = 330,934,422,361
  5. Step 5: Solve for x
    x = 330,934,422,361/263,025
  6. Step 6: Final answer
    x = 1,258,186.19

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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.