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Finding the Third Proportional to 287,410.50 and 435,091.50

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Solution

The third proportional to 287,410.50 and 435,091.50 is: 658,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,410.50 : 435,091.50 = 435,091.50 : x
  2. Step 2: Convert to fraction form
    287,410.50/435,091.50 = 435,091.50/x
  3. Step 3: Cross multiply
    287,410.50x = 435,091.50 × 435,091.50
  4. Step 4: Simplify right side
    287,410.50x = 189,304,613,372.25
  5. Step 5: Solve for x
    x = 189,304,613,372.25/287,410.50
  6. Step 6: Final answer
    x = 658,655.87

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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.