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Finding the Third Proportional to 233,410.50 and 370,530

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Solution

The third proportional to 233,410.50 and 370,530 is: 588,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,410.50 : 370,530 = 370,530 : x
  2. Step 2: Convert to fraction form
    233,410.50/370,530 = 370,530/x
  3. Step 3: Cross multiply
    233,410.50x = 370,530 × 370,530
  4. Step 4: Simplify right side
    233,410.50x = 137,292,480,900
  5. Step 5: Solve for x
    x = 137,292,480,900/233,410.50
  6. Step 6: Final answer
    x = 588,201.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.