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Finding the Third Proportional to 306,036 and 459,054.56

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Solution

The third proportional to 306,036 and 459,054.56 is: 688,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,036 : 459,054.56 = 459,054.56 : x
  2. Step 2: Convert to fraction form
    306,036/459,054.56 = 459,054.56/x
  3. Step 3: Cross multiply
    306,036x = 459,054.56 × 459,054.56
  4. Step 4: Simplify right side
    306,036x = 210,731,091,352.07
  5. Step 5: Solve for x
    x = 210,731,091,352.07/306,036
  6. Step 6: Final answer
    x = 688,582.69

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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.