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Finding the Third Proportional to 239,664 and 526,443

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Solution

The third proportional to 239,664 and 526,443 is: 1,156,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,664 : 526,443 = 526,443 : x
  2. Step 2: Convert to fraction form
    239,664/526,443 = 526,443/x
  3. Step 3: Cross multiply
    239,664x = 526,443 × 526,443
  4. Step 4: Simplify right side
    239,664x = 277,142,232,249
  5. Step 5: Solve for x
    x = 277,142,232,249/239,664
  6. Step 6: Final answer
    x = 1,156,378.23

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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.