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Finding the Third Proportional to 320,943 and 496,692

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Solution

The third proportional to 320,943 and 496,692 is: 768,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,943 : 496,692 = 496,692 : x
  2. Step 2: Convert to fraction form
    320,943/496,692 = 496,692/x
  3. Step 3: Cross multiply
    320,943x = 496,692 × 496,692
  4. Step 4: Simplify right side
    320,943x = 246,702,942,864
  5. Step 5: Solve for x
    x = 246,702,942,864/320,943
  6. Step 6: Final answer
    x = 768,681.49

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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.