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Finding the Third Proportional to 459,008 and 661,104

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Solution

The third proportional to 459,008 and 661,104 is: 952,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,008 : 661,104 = 661,104 : x
  2. Step 2: Convert to fraction form
    459,008/661,104 = 661,104/x
  3. Step 3: Cross multiply
    459,008x = 661,104 × 661,104
  4. Step 4: Simplify right side
    459,008x = 437,058,498,816
  5. Step 5: Solve for x
    x = 437,058,498,816/459,008
  6. Step 6: Final answer
    x = 952,180.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.