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Finding the Third Proportional to 253,207 and 554,725

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Solution

The third proportional to 253,207 and 554,725 is: 1,215,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,207 : 554,725 = 554,725 : x
  2. Step 2: Convert to fraction form
    253,207/554,725 = 554,725/x
  3. Step 3: Cross multiply
    253,207x = 554,725 × 554,725
  4. Step 4: Simplify right side
    253,207x = 307,719,825,625
  5. Step 5: Solve for x
    x = 307,719,825,625/253,207
  6. Step 6: Final answer
    x = 1,215,289.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.