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Finding the Third Proportional to 328,117.25 and 469,201.75

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Solution

The third proportional to 328,117.25 and 469,201.75 is: 670,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,117.25 : 469,201.75 = 469,201.75 : x
  2. Step 2: Convert to fraction form
    328,117.25/469,201.75 = 469,201.75/x
  3. Step 3: Cross multiply
    328,117.25x = 469,201.75 × 469,201.75
  4. Step 4: Simplify right side
    328,117.25x = 220,150,282,203.06
  5. Step 5: Solve for x
    x = 220,150,282,203.06/328,117.25
  6. Step 6: Final answer
    x = 670,950.04

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.