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Finding the Third Proportional to 287,736 and 632,576

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Solution

The third proportional to 287,736 and 632,576 is: 1,390,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,736 : 632,576 = 632,576 : x
  2. Step 2: Convert to fraction form
    287,736/632,576 = 632,576/x
  3. Step 3: Cross multiply
    287,736x = 632,576 × 632,576
  4. Step 4: Simplify right side
    287,736x = 400,152,395,776
  5. Step 5: Solve for x
    x = 400,152,395,776/287,736
  6. Step 6: Final answer
    x = 1,390,692.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.