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Finding the Third Proportional to 207,742 and 459,079

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Solution

The third proportional to 207,742 and 459,079 is: 1,014,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,742 : 459,079 = 459,079 : x
  2. Step 2: Convert to fraction form
    207,742/459,079 = 459,079/x
  3. Step 3: Cross multiply
    207,742x = 459,079 × 459,079
  4. Step 4: Simplify right side
    207,742x = 210,753,528,241
  5. Step 5: Solve for x
    x = 210,753,528,241/207,742
  6. Step 6: Final answer
    x = 1,014,496.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.