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Finding the Third Proportional to 367,076 and 483,762

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Solution

The third proportional to 367,076 and 483,762 is: 637,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,076 : 483,762 = 483,762 : x
  2. Step 2: Convert to fraction form
    367,076/483,762 = 483,762/x
  3. Step 3: Cross multiply
    367,076x = 483,762 × 483,762
  4. Step 4: Simplify right side
    367,076x = 234,025,672,644
  5. Step 5: Solve for x
    x = 234,025,672,644/367,076
  6. Step 6: Final answer
    x = 637,540.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.