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Finding the Third Proportional to 323,457 and 463,166.75

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Solution

The third proportional to 323,457 and 463,166.75 is: 663,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,457 : 463,166.75 = 463,166.75 : x
  2. Step 2: Convert to fraction form
    323,457/463,166.75 = 463,166.75/x
  3. Step 3: Cross multiply
    323,457x = 463,166.75 × 463,166.75
  4. Step 4: Simplify right side
    323,457x = 214,523,438,305.56
  5. Step 5: Solve for x
    x = 214,523,438,305.56/323,457
  6. Step 6: Final answer
    x = 663,220.89

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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.