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Finding the Third Proportional to 255,992 and 558,208

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Solution

The third proportional to 255,992 and 558,208 is: 1,217,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,992 : 558,208 = 558,208 : x
  2. Step 2: Convert to fraction form
    255,992/558,208 = 558,208/x
  3. Step 3: Cross multiply
    255,992x = 558,208 × 558,208
  4. Step 4: Simplify right side
    255,992x = 311,596,171,264
  5. Step 5: Solve for x
    x = 311,596,171,264/255,992
  6. Step 6: Final answer
    x = 1,217,210.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.