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Finding the Third Proportional to 324,663 and 463,341

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Solution

The third proportional to 324,663 and 463,341 is: 661,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,663 : 463,341 = 463,341 : x
  2. Step 2: Convert to fraction form
    324,663/463,341 = 463,341/x
  3. Step 3: Cross multiply
    324,663x = 463,341 × 463,341
  4. Step 4: Simplify right side
    324,663x = 214,684,882,281
  5. Step 5: Solve for x
    x = 214,684,882,281/324,663
  6. Step 6: Final answer
    x = 661,254.54

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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.