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Finding the Third Proportional to 320,577.75 and 500,504.06

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Solution

The third proportional to 320,577.75 and 500,504.06 is: 781,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,577.75 : 500,504.06 = 500,504.06 : x
  2. Step 2: Convert to fraction form
    320,577.75/500,504.06 = 500,504.06/x
  3. Step 3: Cross multiply
    320,577.75x = 500,504.06 × 500,504.06
  4. Step 4: Simplify right side
    320,577.75x = 250,504,316,579.00
  5. Step 5: Solve for x
    x = 250,504,316,579.00/320,577.75
  6. Step 6: Final answer
    x = 781,415.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.