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Finding the Third Proportional to 659,383.50 and 1,028,442

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Solution

The third proportional to 659,383.50 and 1,028,442 is: 1,604,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,383.50 : 1,028,442 = 1,028,442 : x
  2. Step 2: Convert to fraction form
    659,383.50/1,028,442 = 1,028,442/x
  3. Step 3: Cross multiply
    659,383.50x = 1,028,442 × 1,028,442
  4. Step 4: Simplify right side
    659,383.50x = 1,057,692,947,364
  5. Step 5: Solve for x
    x = 1,057,692,947,364/659,383.50
  6. Step 6: Final answer
    x = 1,604,063.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.