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Finding the Third Proportional to 595,910 and 851,265

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Solution

The third proportional to 595,910 and 851,265 is: 1,216,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,910 : 851,265 = 851,265 : x
  2. Step 2: Convert to fraction form
    595,910/851,265 = 851,265/x
  3. Step 3: Cross multiply
    595,910x = 851,265 × 851,265
  4. Step 4: Simplify right side
    595,910x = 724,652,100,225
  5. Step 5: Solve for x
    x = 724,652,100,225/595,910
  6. Step 6: Final answer
    x = 1,216,042.86

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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.