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Finding the Third Proportional to 254,513 and 552,770

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Solution

The third proportional to 254,513 and 552,770 is: 1,200,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,513 : 552,770 = 552,770 : x
  2. Step 2: Convert to fraction form
    254,513/552,770 = 552,770/x
  3. Step 3: Cross multiply
    254,513x = 552,770 × 552,770
  4. Step 4: Simplify right side
    254,513x = 305,554,672,900
  5. Step 5: Solve for x
    x = 305,554,672,900/254,513
  6. Step 6: Final answer
    x = 1,200,546.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.