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Finding the Third Proportional to 265,763 and 403,563

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Solution

The third proportional to 265,763 and 403,563 is: 612,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,763 : 403,563 = 403,563 : x
  2. Step 2: Convert to fraction form
    265,763/403,563 = 403,563/x
  3. Step 3: Cross multiply
    265,763x = 403,563 × 403,563
  4. Step 4: Simplify right side
    265,763x = 162,863,094,969
  5. Step 5: Solve for x
    x = 162,863,094,969/265,763
  6. Step 6: Final answer
    x = 612,813.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.