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Finding the Third Proportional to 251,142 and 522,732

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Solution

The third proportional to 251,142 and 522,732 is: 1,088,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,142 : 522,732 = 522,732 : x
  2. Step 2: Convert to fraction form
    251,142/522,732 = 522,732/x
  3. Step 3: Cross multiply
    251,142x = 522,732 × 522,732
  4. Step 4: Simplify right side
    251,142x = 273,248,743,824
  5. Step 5: Solve for x
    x = 273,248,743,824/251,142
  6. Step 6: Final answer
    x = 1,088,024.88

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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.