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Finding the Third Proportional to 252,024 and 399,262.75

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Solution

The third proportional to 252,024 and 399,262.75 is: 632,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,024 : 399,262.75 = 399,262.75 : x
  2. Step 2: Convert to fraction form
    252,024/399,262.75 = 399,262.75/x
  3. Step 3: Cross multiply
    252,024x = 399,262.75 × 399,262.75
  4. Step 4: Simplify right side
    252,024x = 159,410,743,537.56
  5. Step 5: Solve for x
    x = 159,410,743,537.56/252,024
  6. Step 6: Final answer
    x = 632,522.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.