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Finding the Third Proportional to 319,233.66 and 476,082.56

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Solution

The third proportional to 319,233.66 and 476,082.56 is: 709,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,233.66 : 476,082.56 = 476,082.56 : x
  2. Step 2: Convert to fraction form
    319,233.66/476,082.56 = 476,082.56/x
  3. Step 3: Cross multiply
    319,233.66x = 476,082.56 × 476,082.56
  4. Step 4: Simplify right side
    319,233.66x = 226,654,606,316.57
  5. Step 5: Solve for x
    x = 226,654,606,316.57/319,233.66
  6. Step 6: Final answer
    x = 709,995.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.