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Finding the Third Proportional to 263,354 and 558,081

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Solution

The third proportional to 263,354 and 558,081 is: 1,182,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,354 : 558,081 = 558,081 : x
  2. Step 2: Convert to fraction form
    263,354/558,081 = 558,081/x
  3. Step 3: Cross multiply
    263,354x = 558,081 × 558,081
  4. Step 4: Simplify right side
    263,354x = 311,454,402,561
  5. Step 5: Solve for x
    x = 311,454,402,561/263,354
  6. Step 6: Final answer
    x = 1,182,645.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.