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Finding the Third Proportional to 287,729.09 and 451,381.99

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Solution

The third proportional to 287,729.09 and 451,381.99 is: 708,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729.09 : 451,381.99 = 451,381.99 : x
  2. Step 2: Convert to fraction form
    287,729.09/451,381.99 = 451,381.99/x
  3. Step 3: Cross multiply
    287,729.09x = 451,381.99 × 451,381.99
  4. Step 4: Simplify right side
    287,729.09x = 203,745,702,871.16
  5. Step 5: Solve for x
    x = 203,745,702,871.16/287,729.09
  6. Step 6: Final answer
    x = 708,116.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.