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Finding the Third Proportional to 209,025 and 459,669

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Solution

The third proportional to 209,025 and 459,669 is: 1,010,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,025 : 459,669 = 459,669 : x
  2. Step 2: Convert to fraction form
    209,025/459,669 = 459,669/x
  3. Step 3: Cross multiply
    209,025x = 459,669 × 459,669
  4. Step 4: Simplify right side
    209,025x = 211,295,589,561
  5. Step 5: Solve for x
    x = 211,295,589,561/209,025
  6. Step 6: Final answer
    x = 1,010,862.77

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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.