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Finding the Third Proportional to 320,897.25 and 504,694.13

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Solution

The third proportional to 320,897.25 and 504,694.13 is: 793,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,897.25 : 504,694.13 = 504,694.13 : x
  2. Step 2: Convert to fraction form
    320,897.25/504,694.13 = 504,694.13/x
  3. Step 3: Cross multiply
    320,897.25x = 504,694.13 × 504,694.13
  4. Step 4: Simplify right side
    320,897.25x = 254,716,159,809.52
  5. Step 5: Solve for x
    x = 254,716,159,809.52/320,897.25
  6. Step 6: Final answer
    x = 793,762.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.