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Finding the Third Proportional to 259,023 and 565,962

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Solution

The third proportional to 259,023 and 565,962 is: 1,236,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,023 : 565,962 = 565,962 : x
  2. Step 2: Convert to fraction form
    259,023/565,962 = 565,962/x
  3. Step 3: Cross multiply
    259,023x = 565,962 × 565,962
  4. Step 4: Simplify right side
    259,023x = 320,312,985,444
  5. Step 5: Solve for x
    x = 320,312,985,444/259,023
  6. Step 6: Final answer
    x = 1,236,619.86

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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.