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Finding the Third Proportional to 396,822.75 and 832,957.50

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Solution

The third proportional to 396,822.75 and 832,957.50 is: 1,748,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,822.75 : 832,957.50 = 832,957.50 : x
  2. Step 2: Convert to fraction form
    396,822.75/832,957.50 = 832,957.50/x
  3. Step 3: Cross multiply
    396,822.75x = 832,957.50 × 832,957.50
  4. Step 4: Simplify right side
    396,822.75x = 693,818,196,806.25
  5. Step 5: Solve for x
    x = 693,818,196,806.25/396,822.75
  6. Step 6: Final answer
    x = 1,748,433.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.