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Finding the Third Proportional to 258,140 and 555,834

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Solution

The third proportional to 258,140 and 555,834 is: 1,196,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,140 : 555,834 = 555,834 : x
  2. Step 2: Convert to fraction form
    258,140/555,834 = 555,834/x
  3. Step 3: Cross multiply
    258,140x = 555,834 × 555,834
  4. Step 4: Simplify right side
    258,140x = 308,951,435,556
  5. Step 5: Solve for x
    x = 308,951,435,556/258,140
  6. Step 6: Final answer
    x = 1,196,836.74

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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.