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Finding the Third Proportional to 365,086.13 and 544,591.13

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Solution

The third proportional to 365,086.13 and 544,591.13 is: 812,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,086.13 : 544,591.13 = 544,591.13 : x
  2. Step 2: Convert to fraction form
    365,086.13/544,591.13 = 544,591.13/x
  3. Step 3: Cross multiply
    365,086.13x = 544,591.13 × 544,591.13
  4. Step 4: Simplify right side
    365,086.13x = 296,579,493,428.77
  5. Step 5: Solve for x
    x = 296,579,493,428.77/365,086.13
  6. Step 6: Final answer
    x = 812,354.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.