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Finding the Third Proportional to 258,050 and 410,883

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Solution

The third proportional to 258,050 and 410,883 is: 654,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,050 : 410,883 = 410,883 : x
  2. Step 2: Convert to fraction form
    258,050/410,883 = 410,883/x
  3. Step 3: Cross multiply
    258,050x = 410,883 × 410,883
  4. Step 4: Simplify right side
    258,050x = 168,824,839,689
  5. Step 5: Solve for x
    x = 168,824,839,689/258,050
  6. Step 6: Final answer
    x = 654,233.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.