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Finding the Third Proportional to 253,725 and 552,654

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Solution

The third proportional to 253,725 and 552,654 is: 1,203,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,725 : 552,654 = 552,654 : x
  2. Step 2: Convert to fraction form
    253,725/552,654 = 552,654/x
  3. Step 3: Cross multiply
    253,725x = 552,654 × 552,654
  4. Step 4: Simplify right side
    253,725x = 305,426,443,716
  5. Step 5: Solve for x
    x = 305,426,443,716/253,725
  6. Step 6: Final answer
    x = 1,203,769.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.