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Finding the Third Proportional to 320,413 and 483,080

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Solution

The third proportional to 320,413 and 483,080 is: 728,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,413 : 483,080 = 483,080 : x
  2. Step 2: Convert to fraction form
    320,413/483,080 = 483,080/x
  3. Step 3: Cross multiply
    320,413x = 483,080 × 483,080
  4. Step 4: Simplify right side
    320,413x = 233,366,286,400
  5. Step 5: Solve for x
    x = 233,366,286,400/320,413
  6. Step 6: Final answer
    x = 728,329.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.