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Finding the Third Proportional to 465,964.50 and 692,383.50

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Solution

The third proportional to 465,964.50 and 692,383.50 is: 1,028,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,964.50 : 692,383.50 = 692,383.50 : x
  2. Step 2: Convert to fraction form
    465,964.50/692,383.50 = 692,383.50/x
  3. Step 3: Cross multiply
    465,964.50x = 692,383.50 × 692,383.50
  4. Step 4: Simplify right side
    465,964.50x = 479,394,911,072.25
  5. Step 5: Solve for x
    x = 479,394,911,072.25/465,964.50
  6. Step 6: Final answer
    x = 1,028,822.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.