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Finding the Third Proportional to 459,087.75 and 994,405.50

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Solution

The third proportional to 459,087.75 and 994,405.50 is: 2,153,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,087.75 : 994,405.50 = 994,405.50 : x
  2. Step 2: Convert to fraction form
    459,087.75/994,405.50 = 994,405.50/x
  3. Step 3: Cross multiply
    459,087.75x = 994,405.50 × 994,405.50
  4. Step 4: Simplify right side
    459,087.75x = 988,842,298,430.25
  5. Step 5: Solve for x
    x = 988,842,298,430.25/459,087.75
  6. Step 6: Final answer
    x = 2,153,928.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.