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Finding the Third Proportional to 427,699 and 597,936

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Solution

The third proportional to 427,699 and 597,936 is: 835,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,699 : 597,936 = 597,936 : x
  2. Step 2: Convert to fraction form
    427,699/597,936 = 597,936/x
  3. Step 3: Cross multiply
    427,699x = 597,936 × 597,936
  4. Step 4: Simplify right side
    427,699x = 357,527,460,096
  5. Step 5: Solve for x
    x = 357,527,460,096/427,699
  6. Step 6: Final answer
    x = 835,932.42

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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.