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Finding the Third Proportional to 306,116 and 459,482

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Solution

The third proportional to 306,116 and 459,482 is: 689,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,116 : 459,482 = 459,482 : x
  2. Step 2: Convert to fraction form
    306,116/459,482 = 459,482/x
  3. Step 3: Cross multiply
    306,116x = 459,482 × 459,482
  4. Step 4: Simplify right side
    306,116x = 211,123,708,324
  5. Step 5: Solve for x
    x = 211,123,708,324/306,116
  6. Step 6: Final answer
    x = 689,685.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.