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Finding the Third Proportional to 259,069 and 557,503.75

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Solution

The third proportional to 259,069 and 557,503.75 is: 1,199,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,069 : 557,503.75 = 557,503.75 : x
  2. Step 2: Convert to fraction form
    259,069/557,503.75 = 557,503.75/x
  3. Step 3: Cross multiply
    259,069x = 557,503.75 × 557,503.75
  4. Step 4: Simplify right side
    259,069x = 310,810,431,264.06
  5. Step 5: Solve for x
    x = 310,810,431,264.06/259,069
  6. Step 6: Final answer
    x = 1,199,720.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.