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Finding the Third Proportional to 287,403.75 and 435,081.38

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Solution

The third proportional to 287,403.75 and 435,081.38 is: 658,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,403.75 : 435,081.38 = 435,081.38 : x
  2. Step 2: Convert to fraction form
    287,403.75/435,081.38 = 435,081.38/x
  3. Step 3: Cross multiply
    287,403.75x = 435,081.38 × 435,081.38
  4. Step 4: Simplify right side
    287,403.75x = 189,295,802,871.89
  5. Step 5: Solve for x
    x = 189,295,802,871.89/287,403.75
  6. Step 6: Final answer
    x = 658,640.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.