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Finding the Third Proportional to 353,135.25 and 771,837.75

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Solution

The third proportional to 353,135.25 and 771,837.75 is: 1,686,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,135.25 : 771,837.75 = 771,837.75 : x
  2. Step 2: Convert to fraction form
    353,135.25/771,837.75 = 771,837.75/x
  3. Step 3: Cross multiply
    353,135.25x = 771,837.75 × 771,837.75
  4. Step 4: Simplify right side
    353,135.25x = 595,733,512,325.06
  5. Step 5: Solve for x
    x = 595,733,512,325.06/353,135.25
  6. Step 6: Final answer
    x = 1,686,983.99

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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.