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Finding the Third Proportional to 263,046 and 575,296

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Solution

The third proportional to 263,046 and 575,296 is: 1,258,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,046 : 575,296 = 575,296 : x
  2. Step 2: Convert to fraction form
    263,046/575,296 = 575,296/x
  3. Step 3: Cross multiply
    263,046x = 575,296 × 575,296
  4. Step 4: Simplify right side
    263,046x = 330,965,487,616
  5. Step 5: Solve for x
    x = 330,965,487,616/263,046
  6. Step 6: Final answer
    x = 1,258,203.84

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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.