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Finding the Third Proportional to 283,315.22 and 614,091.38

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Solution

The third proportional to 283,315.22 and 614,091.38 is: 1,331,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,315.22 : 614,091.38 = 614,091.38 : x
  2. Step 2: Convert to fraction form
    283,315.22/614,091.38 = 614,091.38/x
  3. Step 3: Cross multiply
    283,315.22x = 614,091.38 × 614,091.38
  4. Step 4: Simplify right side
    283,315.22x = 377,108,216,849.39
  5. Step 5: Solve for x
    x = 377,108,216,849.39/283,315.22
  6. Step 6: Final answer
    x = 1,331,055.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.