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Finding the Third Proportional to 258,052 and 410,886

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Solution

The third proportional to 258,052 and 410,886 is: 654,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,052 : 410,886 = 410,886 : x
  2. Step 2: Convert to fraction form
    258,052/410,886 = 410,886/x
  3. Step 3: Cross multiply
    258,052x = 410,886 × 410,886
  4. Step 4: Simplify right side
    258,052x = 168,827,304,996
  5. Step 5: Solve for x
    x = 168,827,304,996/258,052
  6. Step 6: Final answer
    x = 654,237.54

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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.