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Finding the Third Proportional to 255,796 and 552,416

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Solution

The third proportional to 255,796 and 552,416 is: 1,192,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,796 : 552,416 = 552,416 : x
  2. Step 2: Convert to fraction form
    255,796/552,416 = 552,416/x
  3. Step 3: Cross multiply
    255,796x = 552,416 × 552,416
  4. Step 4: Simplify right side
    255,796x = 305,163,437,056
  5. Step 5: Solve for x
    x = 305,163,437,056/255,796
  6. Step 6: Final answer
    x = 1,192,995.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.