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Finding the Third Proportional to 467,390 and 763,130

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Solution

The third proportional to 467,390 and 763,130 is: 1,245,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,390 : 763,130 = 763,130 : x
  2. Step 2: Convert to fraction form
    467,390/763,130 = 763,130/x
  3. Step 3: Cross multiply
    467,390x = 763,130 × 763,130
  4. Step 4: Simplify right side
    467,390x = 582,367,396,900
  5. Step 5: Solve for x
    x = 582,367,396,900/467,390
  6. Step 6: Final answer
    x = 1,245,998.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.