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Finding the Third Proportional to 328,120.50 and 514,050

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Solution

The third proportional to 328,120.50 and 514,050 is: 805,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,120.50 : 514,050 = 514,050 : x
  2. Step 2: Convert to fraction form
    328,120.50/514,050 = 514,050/x
  3. Step 3: Cross multiply
    328,120.50x = 514,050 × 514,050
  4. Step 4: Simplify right side
    328,120.50x = 264,247,402,500
  5. Step 5: Solve for x
    x = 264,247,402,500/328,120.50
  6. Step 6: Final answer
    x = 805,336.46

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