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Finding the Third Proportional to 254,369 and 552,477

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Solution

The third proportional to 254,369 and 552,477 is: 1,199,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,369 : 552,477 = 552,477 : x
  2. Step 2: Convert to fraction form
    254,369/552,477 = 552,477/x
  3. Step 3: Cross multiply
    254,369x = 552,477 × 552,477
  4. Step 4: Simplify right side
    254,369x = 305,230,835,529
  5. Step 5: Solve for x
    x = 305,230,835,529/254,369
  6. Step 6: Final answer
    x = 1,199,952.96

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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.