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Finding the Third Proportional to 236,596 and 512,539

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Solution

The third proportional to 236,596 and 512,539 is: 1,110,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,596 : 512,539 = 512,539 : x
  2. Step 2: Convert to fraction form
    236,596/512,539 = 512,539/x
  3. Step 3: Cross multiply
    236,596x = 512,539 × 512,539
  4. Step 4: Simplify right side
    236,596x = 262,696,226,521
  5. Step 5: Solve for x
    x = 262,696,226,521/236,596
  6. Step 6: Final answer
    x = 1,110,315.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.