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Finding the Third Proportional to 254,348 and 552,937

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Solution

The third proportional to 254,348 and 552,937 is: 1,202,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,348 : 552,937 = 552,937 : x
  2. Step 2: Convert to fraction form
    254,348/552,937 = 552,937/x
  3. Step 3: Cross multiply
    254,348x = 552,937 × 552,937
  4. Step 4: Simplify right side
    254,348x = 305,739,325,969
  5. Step 5: Solve for x
    x = 305,739,325,969/254,348
  6. Step 6: Final answer
    x = 1,202,051.23

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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.