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Finding the Third Proportional to 320,051 and 468,242

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Solution

The third proportional to 320,051 and 468,242 is: 685,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,051 : 468,242 = 468,242 : x
  2. Step 2: Convert to fraction form
    320,051/468,242 = 468,242/x
  3. Step 3: Cross multiply
    320,051x = 468,242 × 468,242
  4. Step 4: Simplify right side
    320,051x = 219,250,570,564
  5. Step 5: Solve for x
    x = 219,250,570,564/320,051
  6. Step 6: Final answer
    x = 685,048.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.