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Finding the Third Proportional to 335,181 and 468,852

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Solution

The third proportional to 335,181 and 468,852 is: 655,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,181 : 468,852 = 468,852 : x
  2. Step 2: Convert to fraction form
    335,181/468,852 = 468,852/x
  3. Step 3: Cross multiply
    335,181x = 468,852 × 468,852
  4. Step 4: Simplify right side
    335,181x = 219,822,197,904
  5. Step 5: Solve for x
    x = 219,822,197,904/335,181
  6. Step 6: Final answer
    x = 655,831.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.