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Finding the Third Proportional to 281,885.06 and 614,646.98

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Solution

The third proportional to 281,885.06 and 614,646.98 is: 1,340,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,885.06 : 614,646.98 = 614,646.98 : x
  2. Step 2: Convert to fraction form
    281,885.06/614,646.98 = 614,646.98/x
  3. Step 3: Cross multiply
    281,885.06x = 614,646.98 × 614,646.98
  4. Step 4: Simplify right side
    281,885.06x = 377,790,915,401.28
  5. Step 5: Solve for x
    x = 377,790,915,401.28/281,885.06
  6. Step 6: Final answer
    x = 1,340,230.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.