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Finding the Third Proportional to 283,683.38 and 614,644.88

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Solution

The third proportional to 283,683.38 and 614,644.88 is: 1,331,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,683.38 : 614,644.88 = 614,644.88 : x
  2. Step 2: Convert to fraction form
    283,683.38/614,644.88 = 614,644.88/x
  3. Step 3: Cross multiply
    283,683.38x = 614,644.88 × 614,644.88
  4. Step 4: Simplify right side
    283,683.38x = 377,788,322,363.77
  5. Step 5: Solve for x
    x = 377,788,322,363.77/283,683.38
  6. Step 6: Final answer
    x = 1,331,725.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.