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Finding the Third Proportional to 263,688 and 558,804

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Solution

The third proportional to 263,688 and 558,804 is: 1,184,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,688 : 558,804 = 558,804 : x
  2. Step 2: Convert to fraction form
    263,688/558,804 = 558,804/x
  3. Step 3: Cross multiply
    263,688x = 558,804 × 558,804
  4. Step 4: Simplify right side
    263,688x = 312,261,910,416
  5. Step 5: Solve for x
    x = 312,261,910,416/263,688
  6. Step 6: Final answer
    x = 1,184,209.79

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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.