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Finding the Third Proportional to 287,407.50 and 435,087.38

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Solution

The third proportional to 287,407.50 and 435,087.38 is: 658,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,407.50 : 435,087.38 = 435,087.38 : x
  2. Step 2: Convert to fraction form
    287,407.50/435,087.38 = 435,087.38/x
  3. Step 3: Cross multiply
    287,407.50x = 435,087.38 × 435,087.38
  4. Step 4: Simplify right side
    287,407.50x = 189,301,023,884.39
  5. Step 5: Solve for x
    x = 189,301,023,884.39/287,407.50
  6. Step 6: Final answer
    x = 658,650.26

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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.