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Finding the Third Proportional to 254,209 and 552,684

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Solution

The third proportional to 254,209 and 552,684 is: 1,201,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,209 : 552,684 = 552,684 : x
  2. Step 2: Convert to fraction form
    254,209/552,684 = 552,684/x
  3. Step 3: Cross multiply
    254,209x = 552,684 × 552,684
  4. Step 4: Simplify right side
    254,209x = 305,459,603,856
  5. Step 5: Solve for x
    x = 305,459,603,856/254,209
  6. Step 6: Final answer
    x = 1,201,608.14

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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.