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Finding the Third Proportional to 287,772 and 632,648

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Solution

The third proportional to 287,772 and 632,648 is: 1,390,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772 : 632,648 = 632,648 : x
  2. Step 2: Convert to fraction form
    287,772/632,648 = 632,648/x
  3. Step 3: Cross multiply
    287,772x = 632,648 × 632,648
  4. Step 4: Simplify right side
    287,772x = 400,243,491,904
  5. Step 5: Solve for x
    x = 400,243,491,904/287,772
  6. Step 6: Final answer
    x = 1,390,835.42

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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.