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Finding the Third Proportional to 207,746 and 459,087

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Solution

The third proportional to 207,746 and 459,087 is: 1,014,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,746 : 459,087 = 459,087 : x
  2. Step 2: Convert to fraction form
    207,746/459,087 = 459,087/x
  3. Step 3: Cross multiply
    207,746x = 459,087 × 459,087
  4. Step 4: Simplify right side
    207,746x = 210,760,873,569
  5. Step 5: Solve for x
    x = 210,760,873,569/207,746
  6. Step 6: Final answer
    x = 1,014,512.31

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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.