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Finding the Third Proportional to 287,779 and 632,662

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Solution

The third proportional to 287,779 and 632,662 is: 1,390,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,779 : 632,662 = 632,662 : x
  2. Step 2: Convert to fraction form
    287,779/632,662 = 632,662/x
  3. Step 3: Cross multiply
    287,779x = 632,662 × 632,662
  4. Step 4: Simplify right side
    287,779x = 400,261,206,244
  5. Step 5: Solve for x
    x = 400,261,206,244/287,779
  6. Step 6: Final answer
    x = 1,390,863.15

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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.