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Finding the Third Proportional to 194,030.44 and 417,570.19

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Solution

The third proportional to 194,030.44 and 417,570.19 is: 898,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,030.44 : 417,570.19 = 417,570.19 : x
  2. Step 2: Convert to fraction form
    194,030.44/417,570.19 = 417,570.19/x
  3. Step 3: Cross multiply
    194,030.44x = 417,570.19 × 417,570.19
  4. Step 4: Simplify right side
    194,030.44x = 174,364,861,488.79
  5. Step 5: Solve for x
    x = 174,364,861,488.79/194,030.44
  6. Step 6: Final answer
    x = 898,646.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.