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Finding the Third Proportional to 287,651.25 and 446,613.75

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Solution

The third proportional to 287,651.25 and 446,613.75 is: 693,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,651.25 : 446,613.75 = 446,613.75 : x
  2. Step 2: Convert to fraction form
    287,651.25/446,613.75 = 446,613.75/x
  3. Step 3: Cross multiply
    287,651.25x = 446,613.75 × 446,613.75
  4. Step 4: Simplify right side
    287,651.25x = 199,463,841,689.06
  5. Step 5: Solve for x
    x = 199,463,841,689.06/287,651.25
  6. Step 6: Final answer
    x = 693,422.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.