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Finding the Third Proportional to 265,371 and 560,694

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Solution

The third proportional to 265,371 and 560,694 is: 1,184,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,371 : 560,694 = 560,694 : x
  2. Step 2: Convert to fraction form
    265,371/560,694 = 560,694/x
  3. Step 3: Cross multiply
    265,371x = 560,694 × 560,694
  4. Step 4: Simplify right side
    265,371x = 314,377,761,636
  5. Step 5: Solve for x
    x = 314,377,761,636/265,371
  6. Step 6: Final answer
    x = 1,184,672.63

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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.