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Finding the Third Proportional to 209,046 and 451,632

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Solution

The third proportional to 209,046 and 451,632 is: 975,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046 : 451,632 = 451,632 : x
  2. Step 2: Convert to fraction form
    209,046/451,632 = 451,632/x
  3. Step 3: Cross multiply
    209,046x = 451,632 × 451,632
  4. Step 4: Simplify right side
    209,046x = 203,971,463,424
  5. Step 5: Solve for x
    x = 203,971,463,424/209,046
  6. Step 6: Final answer
    x = 975,725.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.