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Finding the Third Proportional to 258,196 and 555,944

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Solution

The third proportional to 258,196 and 555,944 is: 1,197,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,196 : 555,944 = 555,944 : x
  2. Step 2: Convert to fraction form
    258,196/555,944 = 555,944/x
  3. Step 3: Cross multiply
    258,196x = 555,944 × 555,944
  4. Step 4: Simplify right side
    258,196x = 309,073,731,136
  5. Step 5: Solve for x
    x = 309,073,731,136/258,196
  6. Step 6: Final answer
    x = 1,197,050.81

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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.