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Finding the Third Proportional to 351,712 and 829,720

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Solution

The third proportional to 351,712 and 829,720 is: 1,957,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,712 : 829,720 = 829,720 : x
  2. Step 2: Convert to fraction form
    351,712/829,720 = 829,720/x
  3. Step 3: Cross multiply
    351,712x = 829,720 × 829,720
  4. Step 4: Simplify right side
    351,712x = 688,435,278,400
  5. Step 5: Solve for x
    x = 688,435,278,400/351,712
  6. Step 6: Final answer
    x = 1,957,383.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.