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Finding the Third Proportional to 253,903 and 540,704

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Solution

The third proportional to 253,903 and 540,704 is: 1,151,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,903 : 540,704 = 540,704 : x
  2. Step 2: Convert to fraction form
    253,903/540,704 = 540,704/x
  3. Step 3: Cross multiply
    253,903x = 540,704 × 540,704
  4. Step 4: Simplify right side
    253,903x = 292,360,815,616
  5. Step 5: Solve for x
    x = 292,360,815,616/253,903
  6. Step 6: Final answer
    x = 1,151,466.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.