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Finding the Third Proportional to 259,144 and 558,024

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Solution

The third proportional to 259,144 and 558,024 is: 1,201,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,144 : 558,024 = 558,024 : x
  2. Step 2: Convert to fraction form
    259,144/558,024 = 558,024/x
  3. Step 3: Cross multiply
    259,144x = 558,024 × 558,024
  4. Step 4: Simplify right side
    259,144x = 311,390,784,576
  5. Step 5: Solve for x
    x = 311,390,784,576/259,144
  6. Step 6: Final answer
    x = 1,201,612.94

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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.