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Finding the Third Proportional to 509,256.38 and 1,060,350.75

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Solution

The third proportional to 509,256.38 and 1,060,350.75 is: 2,207,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,256.38 : 1,060,350.75 = 1,060,350.75 : x
  2. Step 2: Convert to fraction form
    509,256.38/1,060,350.75 = 1,060,350.75/x
  3. Step 3: Cross multiply
    509,256.38x = 1,060,350.75 × 1,060,350.75
  4. Step 4: Simplify right side
    509,256.38x = 1,124,343,713,025.56
  5. Step 5: Solve for x
    x = 1,124,343,713,025.56/509,256.38
  6. Step 6: Final answer
    x = 2,207,814.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.