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Finding the Third Proportional to 323,445.75 and 463,149.75

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Solution

The third proportional to 323,445.75 and 463,149.75 is: 663,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,445.75 : 463,149.75 = 463,149.75 : x
  2. Step 2: Convert to fraction form
    323,445.75/463,149.75 = 463,149.75/x
  3. Step 3: Cross multiply
    323,445.75x = 463,149.75 × 463,149.75
  4. Step 4: Simplify right side
    323,445.75x = 214,507,690,925.06
  5. Step 5: Solve for x
    x = 214,507,690,925.06/323,445.75
  6. Step 6: Final answer
    x = 663,195.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.