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Finding the Third Proportional to 427,728.75 and 597,996.75

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Solution

The third proportional to 427,728.75 and 597,996.75 is: 836,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,728.75 : 597,996.75 = 597,996.75 : x
  2. Step 2: Convert to fraction form
    427,728.75/597,996.75 = 597,996.75/x
  3. Step 3: Cross multiply
    427,728.75x = 597,996.75 × 597,996.75
  4. Step 4: Simplify right side
    427,728.75x = 357,600,113,010.56
  5. Step 5: Solve for x
    x = 357,600,113,010.56/427,728.75
  6. Step 6: Final answer
    x = 836,044.14

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Why These Related Problems?

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