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Finding the Third Proportional to 243,132 and 523,722

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Solution

The third proportional to 243,132 and 523,722 is: 1,128,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,132 : 523,722 = 523,722 : x
  2. Step 2: Convert to fraction form
    243,132/523,722 = 523,722/x
  3. Step 3: Cross multiply
    243,132x = 523,722 × 523,722
  4. Step 4: Simplify right side
    243,132x = 274,284,733,284
  5. Step 5: Solve for x
    x = 274,284,733,284/243,132
  6. Step 6: Final answer
    x = 1,128,130.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.