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Finding the Third Proportional to 328,074 and 513,982

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Solution

The third proportional to 328,074 and 513,982 is: 805,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,074 : 513,982 = 513,982 : x
  2. Step 2: Convert to fraction form
    328,074/513,982 = 513,982/x
  3. Step 3: Cross multiply
    328,074x = 513,982 × 513,982
  4. Step 4: Simplify right side
    328,074x = 264,177,496,324
  5. Step 5: Solve for x
    x = 264,177,496,324/328,074
  6. Step 6: Final answer
    x = 805,237.53

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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.