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Finding the Third Proportional to 259,454.50 and 569,987

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Solution

The third proportional to 259,454.50 and 569,987 is: 1,252,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,454.50 : 569,987 = 569,987 : x
  2. Step 2: Convert to fraction form
    259,454.50/569,987 = 569,987/x
  3. Step 3: Cross multiply
    259,454.50x = 569,987 × 569,987
  4. Step 4: Simplify right side
    259,454.50x = 324,885,180,169
  5. Step 5: Solve for x
    x = 324,885,180,169/259,454.50
  6. Step 6: Final answer
    x = 1,252,185.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.