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Finding the Third Proportional to 320,603 and 500,314

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Solution

The third proportional to 320,603 and 500,314 is: 780,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,603 : 500,314 = 500,314 : x
  2. Step 2: Convert to fraction form
    320,603/500,314 = 500,314/x
  3. Step 3: Cross multiply
    320,603x = 500,314 × 500,314
  4. Step 4: Simplify right side
    320,603x = 250,314,098,596
  5. Step 5: Solve for x
    x = 250,314,098,596/320,603
  6. Step 6: Final answer
    x = 780,760.31

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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.