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Finding the Third Proportional to 259,455 and 569,988

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Solution

The third proportional to 259,455 and 569,988 is: 1,252,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,455 : 569,988 = 569,988 : x
  2. Step 2: Convert to fraction form
    259,455/569,988 = 569,988/x
  3. Step 3: Cross multiply
    259,455x = 569,988 × 569,988
  4. Step 4: Simplify right side
    259,455x = 324,886,320,144
  5. Step 5: Solve for x
    x = 324,886,320,144/259,455
  6. Step 6: Final answer
    x = 1,252,187.55

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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.