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Finding the Third Proportional to 254,352 and 552,945

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Solution

The third proportional to 254,352 and 552,945 is: 1,202,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,352 : 552,945 = 552,945 : x
  2. Step 2: Convert to fraction form
    254,352/552,945 = 552,945/x
  3. Step 3: Cross multiply
    254,352x = 552,945 × 552,945
  4. Step 4: Simplify right side
    254,352x = 305,748,173,025
  5. Step 5: Solve for x
    x = 305,748,173,025/254,352
  6. Step 6: Final answer
    x = 1,202,067.11

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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.