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Finding the Third Proportional to 254,354 and 552,949

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Solution

The third proportional to 254,354 and 552,949 is: 1,202,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,354 : 552,949 = 552,949 : x
  2. Step 2: Convert to fraction form
    254,354/552,949 = 552,949/x
  3. Step 3: Cross multiply
    254,354x = 552,949 × 552,949
  4. Step 4: Simplify right side
    254,354x = 305,752,596,601
  5. Step 5: Solve for x
    x = 305,752,596,601/254,354
  6. Step 6: Final answer
    x = 1,202,075.05

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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.