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Finding the Third Proportional to 252,664 and 365,024

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Solution

The third proportional to 252,664 and 365,024 is: 527,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,664 : 365,024 = 365,024 : x
  2. Step 2: Convert to fraction form
    252,664/365,024 = 365,024/x
  3. Step 3: Cross multiply
    252,664x = 365,024 × 365,024
  4. Step 4: Simplify right side
    252,664x = 133,242,520,576
  5. Step 5: Solve for x
    x = 133,242,520,576/252,664
  6. Step 6: Final answer
    x = 527,350.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.