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Finding the Third Proportional to 366,678.75 and 493,428.75

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Solution

The third proportional to 366,678.75 and 493,428.75 is: 663,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,678.75 : 493,428.75 = 493,428.75 : x
  2. Step 2: Convert to fraction form
    366,678.75/493,428.75 = 493,428.75/x
  3. Step 3: Cross multiply
    366,678.75x = 493,428.75 × 493,428.75
  4. Step 4: Simplify right side
    366,678.75x = 243,471,931,326.56
  5. Step 5: Solve for x
    x = 243,471,931,326.56/366,678.75
  6. Step 6: Final answer
    x = 663,992.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.