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Finding the Third Proportional to 396,826.50 and 832,963.50

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Solution

The third proportional to 396,826.50 and 832,963.50 is: 1,748,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,826.50 : 832,963.50 = 832,963.50 : x
  2. Step 2: Convert to fraction form
    396,826.50/832,963.50 = 832,963.50/x
  3. Step 3: Cross multiply
    396,826.50x = 832,963.50 × 832,963.50
  4. Step 4: Simplify right side
    396,826.50x = 693,828,192,332.25
  5. Step 5: Solve for x
    x = 693,828,192,332.25/396,826.50
  6. Step 6: Final answer
    x = 1,748,442.18

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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.