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Finding the Third Proportional to 446,034.94 and 718,184.81

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Solution

The third proportional to 446,034.94 and 718,184.81 is: 1,156,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,034.94 : 718,184.81 = 718,184.81 : x
  2. Step 2: Convert to fraction form
    446,034.94/718,184.81 = 718,184.81/x
  3. Step 3: Cross multiply
    446,034.94x = 718,184.81 × 718,184.81
  4. Step 4: Simplify right side
    446,034.94x = 515,789,424,905.66
  5. Step 5: Solve for x
    x = 515,789,424,905.66/446,034.94
  6. Step 6: Final answer
    x = 1,156,387.95

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.