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Finding the Third Proportional to 209,037 and 459,692

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Solution

The third proportional to 209,037 and 459,692 is: 1,010,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,037 : 459,692 = 459,692 : x
  2. Step 2: Convert to fraction form
    209,037/459,692 = 459,692/x
  3. Step 3: Cross multiply
    209,037x = 459,692 × 459,692
  4. Step 4: Simplify right side
    209,037x = 211,316,734,864
  5. Step 5: Solve for x
    x = 211,316,734,864/209,037
  6. Step 6: Final answer
    x = 1,010,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.