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Finding the Third Proportional to 263,685 and 558,798

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Solution

The third proportional to 263,685 and 558,798 is: 1,184,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,685 : 558,798 = 558,798 : x
  2. Step 2: Convert to fraction form
    263,685/558,798 = 558,798/x
  3. Step 3: Cross multiply
    263,685x = 558,798 × 558,798
  4. Step 4: Simplify right side
    263,685x = 312,255,204,804
  5. Step 5: Solve for x
    x = 312,255,204,804/263,685
  6. Step 6: Final answer
    x = 1,184,197.83

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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.