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Finding the Third Proportional to 560,160 and 848,694

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Solution

The third proportional to 560,160 and 848,694 is: 1,285,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,160 : 848,694 = 848,694 : x
  2. Step 2: Convert to fraction form
    560,160/848,694 = 848,694/x
  3. Step 3: Cross multiply
    560,160x = 848,694 × 848,694
  4. Step 4: Simplify right side
    560,160x = 720,281,505,636
  5. Step 5: Solve for x
    x = 720,281,505,636/560,160
  6. Step 6: Final answer
    x = 1,285,849.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.