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Finding the Third Proportional to 335,054 and 722,593

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Solution

The third proportional to 335,054 and 722,593 is: 1,558,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,054 : 722,593 = 722,593 : x
  2. Step 2: Convert to fraction form
    335,054/722,593 = 722,593/x
  3. Step 3: Cross multiply
    335,054x = 722,593 × 722,593
  4. Step 4: Simplify right side
    335,054x = 522,140,643,649
  5. Step 5: Solve for x
    x = 522,140,643,649/335,054
  6. Step 6: Final answer
    x = 1,558,377.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.