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Finding the Third Proportional to 320,985 and 496,752

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Solution

The third proportional to 320,985 and 496,752 is: 768,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,985 : 496,752 = 496,752 : x
  2. Step 2: Convert to fraction form
    320,985/496,752 = 496,752/x
  3. Step 3: Cross multiply
    320,985x = 496,752 × 496,752
  4. Step 4: Simplify right side
    320,985x = 246,762,549,504
  5. Step 5: Solve for x
    x = 246,762,549,504/320,985
  6. Step 6: Final answer
    x = 768,766.61

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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.