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Finding the Third Proportional to 427,743 and 597,996

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Solution

The third proportional to 427,743 and 597,996 is: 836,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,743 : 597,996 = 597,996 : x
  2. Step 2: Convert to fraction form
    427,743/597,996 = 597,996/x
  3. Step 3: Cross multiply
    427,743x = 597,996 × 597,996
  4. Step 4: Simplify right side
    427,743x = 357,599,216,016
  5. Step 5: Solve for x
    x = 357,599,216,016/427,743
  6. Step 6: Final answer
    x = 836,014.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.