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Finding the Third Proportional to 263,929 and 575,491

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Solution

The third proportional to 263,929 and 575,491 is: 1,254,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,929 : 575,491 = 575,491 : x
  2. Step 2: Convert to fraction form
    263,929/575,491 = 575,491/x
  3. Step 3: Cross multiply
    263,929x = 575,491 × 575,491
  4. Step 4: Simplify right side
    263,929x = 331,189,891,081
  5. Step 5: Solve for x
    x = 331,189,891,081/263,929
  6. Step 6: Final answer
    x = 1,254,844.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.