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Finding the Third Proportional to 320,947 and 496,693

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Solution

The third proportional to 320,947 and 496,693 is: 768,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,947 : 496,693 = 496,693 : x
  2. Step 2: Convert to fraction form
    320,947/496,693 = 496,693/x
  3. Step 3: Cross multiply
    320,947x = 496,693 × 496,693
  4. Step 4: Simplify right side
    320,947x = 246,703,936,249
  5. Step 5: Solve for x
    x = 246,703,936,249/320,947
  6. Step 6: Final answer
    x = 768,675.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.