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Finding the Third Proportional to 328,082 and 513,996

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Solution

The third proportional to 328,082 and 513,996 is: 805,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,082 : 513,996 = 513,996 : x
  2. Step 2: Convert to fraction form
    328,082/513,996 = 513,996/x
  3. Step 3: Cross multiply
    328,082x = 513,996 × 513,996
  4. Step 4: Simplify right side
    328,082x = 264,191,888,016
  5. Step 5: Solve for x
    x = 264,191,888,016/328,082
  6. Step 6: Final answer
    x = 805,261.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.