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Finding the Third Proportional to 239,446.50 and 375,693

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Solution

The third proportional to 239,446.50 and 375,693 is: 589,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,446.50 : 375,693 = 375,693 : x
  2. Step 2: Convert to fraction form
    239,446.50/375,693 = 375,693/x
  3. Step 3: Cross multiply
    239,446.50x = 375,693 × 375,693
  4. Step 4: Simplify right side
    239,446.50x = 141,145,230,249
  5. Step 5: Solve for x
    x = 141,145,230,249/239,446.50
  6. Step 6: Final answer
    x = 589,464.58

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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.