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Finding the Third Proportional to 335,182 and 468,853

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Solution

The third proportional to 335,182 and 468,853 is: 655,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,182 : 468,853 = 468,853 : x
  2. Step 2: Convert to fraction form
    335,182/468,853 = 468,853/x
  3. Step 3: Cross multiply
    335,182x = 468,853 × 468,853
  4. Step 4: Simplify right side
    335,182x = 219,823,135,609
  5. Step 5: Solve for x
    x = 219,823,135,609/335,182
  6. Step 6: Final answer
    x = 655,832.16

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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.