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Finding the Third Proportional to 348,194 and 761,992

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Solution

The third proportional to 348,194 and 761,992 is: 1,667,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,194 : 761,992 = 761,992 : x
  2. Step 2: Convert to fraction form
    348,194/761,992 = 761,992/x
  3. Step 3: Cross multiply
    348,194x = 761,992 × 761,992
  4. Step 4: Simplify right side
    348,194x = 580,631,808,064
  5. Step 5: Solve for x
    x = 580,631,808,064/348,194
  6. Step 6: Final answer
    x = 1,667,552.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.