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Finding the Third Proportional to 328,104 and 514,026

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Solution

The third proportional to 328,104 and 514,026 is: 805,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,104 : 514,026 = 514,026 : x
  2. Step 2: Convert to fraction form
    328,104/514,026 = 514,026/x
  3. Step 3: Cross multiply
    328,104x = 514,026 × 514,026
  4. Step 4: Simplify right side
    328,104x = 264,222,728,676
  5. Step 5: Solve for x
    x = 264,222,728,676/328,104
  6. Step 6: Final answer
    x = 805,301.76

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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.