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Finding the Third Proportional to 265,373 and 560,698

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Solution

The third proportional to 265,373 and 560,698 is: 1,184,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,373 : 560,698 = 560,698 : x
  2. Step 2: Convert to fraction form
    265,373/560,698 = 560,698/x
  3. Step 3: Cross multiply
    265,373x = 560,698 × 560,698
  4. Step 4: Simplify right side
    265,373x = 314,382,247,204
  5. Step 5: Solve for x
    x = 314,382,247,204/265,373
  6. Step 6: Final answer
    x = 1,184,680.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.