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Finding the Third Proportional to 320,595 and 500,302

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Solution

The third proportional to 320,595 and 500,302 is: 780,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,595 : 500,302 = 500,302 : x
  2. Step 2: Convert to fraction form
    320,595/500,302 = 500,302/x
  3. Step 3: Cross multiply
    320,595x = 500,302 × 500,302
  4. Step 4: Simplify right side
    320,595x = 250,302,091,204
  5. Step 5: Solve for x
    x = 250,302,091,204/320,595
  6. Step 6: Final answer
    x = 780,742.34

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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.