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Finding the Third Proportional to 209,062 and 459,742

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Solution

The third proportional to 209,062 and 459,742 is: 1,011,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062 : 459,742 = 459,742 : x
  2. Step 2: Convert to fraction form
    209,062/459,742 = 459,742/x
  3. Step 3: Cross multiply
    209,062x = 459,742 × 459,742
  4. Step 4: Simplify right side
    209,062x = 211,362,706,564
  5. Step 5: Solve for x
    x = 211,362,706,564/209,062
  6. Step 6: Final answer
    x = 1,011,004.90

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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.