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Finding the Third Proportional to 613,082.25 and 956,876.63

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Solution

The third proportional to 613,082.25 and 956,876.63 is: 1,493,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,082.25 : 956,876.63 = 956,876.63 : x
  2. Step 2: Convert to fraction form
    613,082.25/956,876.63 = 956,876.63/x
  3. Step 3: Cross multiply
    613,082.25x = 956,876.63 × 956,876.63
  4. Step 4: Simplify right side
    613,082.25x = 915,612,875,471.39
  5. Step 5: Solve for x
    x = 915,612,875,471.39/613,082.25
  6. Step 6: Final answer
    x = 1,493,458.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.