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Finding the Third Proportional to 258,138 and 555,830

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Solution

The third proportional to 258,138 and 555,830 is: 1,196,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,138 : 555,830 = 555,830 : x
  2. Step 2: Convert to fraction form
    258,138/555,830 = 555,830/x
  3. Step 3: Cross multiply
    258,138x = 555,830 × 555,830
  4. Step 4: Simplify right side
    258,138x = 308,946,988,900
  5. Step 5: Solve for x
    x = 308,946,988,900/258,138
  6. Step 6: Final answer
    x = 1,196,828.78

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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.