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Finding the Third Proportional to 209,798.63 and 316,439.81

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Solution

The third proportional to 209,798.63 and 316,439.81 is: 477,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,798.63 : 316,439.81 = 316,439.81 : x
  2. Step 2: Convert to fraction form
    209,798.63/316,439.81 = 316,439.81/x
  3. Step 3: Cross multiply
    209,798.63x = 316,439.81 × 316,439.81
  4. Step 4: Simplify right side
    209,798.63x = 100,134,154,935.04
  5. Step 5: Solve for x
    x = 100,134,154,935.04/209,798.63
  6. Step 6: Final answer
    x = 477,286.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.