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Finding the Third Proportional to 560,236.50 and 1,215,470.81

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Solution

The third proportional to 560,236.50 and 1,215,470.81 is: 2,637,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,236.50 : 1,215,470.81 = 1,215,470.81 : x
  2. Step 2: Convert to fraction form
    560,236.50/1,215,470.81 = 1,215,470.81/x
  3. Step 3: Cross multiply
    560,236.50x = 1,215,470.81 × 1,215,470.81
  4. Step 4: Simplify right side
    560,236.50x = 1,477,369,296,039.41
  5. Step 5: Solve for x
    x = 1,477,369,296,039.41/560,236.50
  6. Step 6: Final answer
    x = 2,637,045.78

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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.