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Finding the Third Proportional to 320,604.75 and 500,320.13

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Solution

The third proportional to 320,604.75 and 500,320.13 is: 780,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,604.75 : 500,320.13 = 500,320.13 : x
  2. Step 2: Convert to fraction form
    320,604.75/500,320.13 = 500,320.13/x
  3. Step 3: Cross multiply
    320,604.75x = 500,320.13 × 500,320.13
  4. Step 4: Simplify right side
    320,604.75x = 250,320,227,480.02
  5. Step 5: Solve for x
    x = 250,320,227,480.02/320,604.75
  6. Step 6: Final answer
    x = 780,775.17

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