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Finding the Third Proportional to 467,250.75 and 710,112.38

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Solution

The third proportional to 467,250.75 and 710,112.38 is: 1,079,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,250.75 : 710,112.38 = 710,112.38 : x
  2. Step 2: Convert to fraction form
    467,250.75/710,112.38 = 710,112.38/x
  3. Step 3: Cross multiply
    467,250.75x = 710,112.38 × 710,112.38
  4. Step 4: Simplify right side
    467,250.75x = 504,259,585,128.14
  5. Step 5: Solve for x
    x = 504,259,585,128.14/467,250.75
  6. Step 6: Final answer
    x = 1,079,205.51

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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.