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Finding the Third Proportional to 253,201 and 554,713

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Solution

The third proportional to 253,201 and 554,713 is: 1,215,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,201 : 554,713 = 554,713 : x
  2. Step 2: Convert to fraction form
    253,201/554,713 = 554,713/x
  3. Step 3: Cross multiply
    253,201x = 554,713 × 554,713
  4. Step 4: Simplify right side
    253,201x = 307,706,512,369
  5. Step 5: Solve for x
    x = 307,706,512,369/253,201
  6. Step 6: Final answer
    x = 1,215,265.79

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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.