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Finding the Third Proportional to 463,367 and 740,015

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Solution

The third proportional to 463,367 and 740,015 is: 1,181,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,367 : 740,015 = 740,015 : x
  2. Step 2: Convert to fraction form
    463,367/740,015 = 740,015/x
  3. Step 3: Cross multiply
    463,367x = 740,015 × 740,015
  4. Step 4: Simplify right side
    463,367x = 547,622,200,225
  5. Step 5: Solve for x
    x = 547,622,200,225/463,367
  6. Step 6: Final answer
    x = 1,181,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.