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Finding the Third Proportional to 311,482.13 and 458,471.81

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Solution

The third proportional to 311,482.13 and 458,471.81 is: 674,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,482.13 : 458,471.81 = 458,471.81 : x
  2. Step 2: Convert to fraction form
    311,482.13/458,471.81 = 458,471.81/x
  3. Step 3: Cross multiply
    311,482.13x = 458,471.81 × 458,471.81
  4. Step 4: Simplify right side
    311,482.13x = 210,196,402,857.04
  5. Step 5: Solve for x
    x = 210,196,402,857.04/311,482.13
  6. Step 6: Final answer
    x = 674,826.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.