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Finding the Third Proportional to 328,114.50 and 514,041

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Solution

The third proportional to 328,114.50 and 514,041 is: 805,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,114.50 : 514,041 = 514,041 : x
  2. Step 2: Convert to fraction form
    328,114.50/514,041 = 514,041/x
  3. Step 3: Cross multiply
    328,114.50x = 514,041 × 514,041
  4. Step 4: Simplify right side
    328,114.50x = 264,238,149,681
  5. Step 5: Solve for x
    x = 264,238,149,681/328,114.50
  6. Step 6: Final answer
    x = 805,322.99

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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.