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Finding the Third Proportional to 287,736 and 632,584

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Solution

The third proportional to 287,736 and 632,584 is: 1,390,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,736 : 632,584 = 632,584 : x
  2. Step 2: Convert to fraction form
    287,736/632,584 = 632,584/x
  3. Step 3: Cross multiply
    287,736x = 632,584 × 632,584
  4. Step 4: Simplify right side
    287,736x = 400,162,517,056
  5. Step 5: Solve for x
    x = 400,162,517,056/287,736
  6. Step 6: Final answer
    x = 1,390,728.02

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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.