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Finding the Third Proportional to 239,663 and 526,438

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Solution

The third proportional to 239,663 and 526,438 is: 1,156,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,663 : 526,438 = 526,438 : x
  2. Step 2: Convert to fraction form
    239,663/526,438 = 526,438/x
  3. Step 3: Cross multiply
    239,663x = 526,438 × 526,438
  4. Step 4: Simplify right side
    239,663x = 277,136,967,844
  5. Step 5: Solve for x
    x = 277,136,967,844/239,663
  6. Step 6: Final answer
    x = 1,156,361.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.