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Finding the Third Proportional to 237,572 and 494,732

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Solution

The third proportional to 237,572 and 494,732 is: 1,030,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,572 : 494,732 = 494,732 : x
  2. Step 2: Convert to fraction form
    237,572/494,732 = 494,732/x
  3. Step 3: Cross multiply
    237,572x = 494,732 × 494,732
  4. Step 4: Simplify right side
    237,572x = 244,759,751,824
  5. Step 5: Solve for x
    x = 244,759,751,824/237,572
  6. Step 6: Final answer
    x = 1,030,255.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.