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Finding the Third Proportional to 326,553 and 504,393

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Solution

The third proportional to 326,553 and 504,393 is: 779,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,553 : 504,393 = 504,393 : x
  2. Step 2: Convert to fraction form
    326,553/504,393 = 504,393/x
  3. Step 3: Cross multiply
    326,553x = 504,393 × 504,393
  4. Step 4: Simplify right side
    326,553x = 254,412,298,449
  5. Step 5: Solve for x
    x = 254,412,298,449/326,553
  6. Step 6: Final answer
    x = 779,084.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.