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Finding the Third Proportional to 320,875 and 493,252

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Solution

The third proportional to 320,875 and 493,252 is: 758,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,875 : 493,252 = 493,252 : x
  2. Step 2: Convert to fraction form
    320,875/493,252 = 493,252/x
  3. Step 3: Cross multiply
    320,875x = 493,252 × 493,252
  4. Step 4: Simplify right side
    320,875x = 243,297,535,504
  5. Step 5: Solve for x
    x = 243,297,535,504/320,875
  6. Step 6: Final answer
    x = 758,231.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.