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Finding the Third Proportional to 252,576 and 557,856

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Solution

The third proportional to 252,576 and 557,856 is: 1,232,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,576 : 557,856 = 557,856 : x
  2. Step 2: Convert to fraction form
    252,576/557,856 = 557,856/x
  3. Step 3: Cross multiply
    252,576x = 557,856 × 557,856
  4. Step 4: Simplify right side
    252,576x = 311,203,316,736
  5. Step 5: Solve for x
    x = 311,203,316,736/252,576
  6. Step 6: Final answer
    x = 1,232,117.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.