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Finding the Third Proportional to 595,912 and 851,267

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Solution

The third proportional to 595,912 and 851,267 is: 1,216,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,912 : 851,267 = 851,267 : x
  2. Step 2: Convert to fraction form
    595,912/851,267 = 851,267/x
  3. Step 3: Cross multiply
    595,912x = 851,267 × 851,267
  4. Step 4: Simplify right side
    595,912x = 724,655,505,289
  5. Step 5: Solve for x
    x = 724,655,505,289/595,912
  6. Step 6: Final answer
    x = 1,216,044.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.