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Finding the Third Proportional to 227,572 and 361,734

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Solution

The third proportional to 227,572 and 361,734 is: 574,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,572 : 361,734 = 361,734 : x
  2. Step 2: Convert to fraction form
    227,572/361,734 = 361,734/x
  3. Step 3: Cross multiply
    227,572x = 361,734 × 361,734
  4. Step 4: Simplify right side
    227,572x = 130,851,486,756
  5. Step 5: Solve for x
    x = 130,851,486,756/227,572
  6. Step 6: Final answer
    x = 574,989.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.