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Finding the Third Proportional to 322,465 and 483,642

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Solution

The third proportional to 322,465 and 483,642 is: 725,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,465 : 483,642 = 483,642 : x
  2. Step 2: Convert to fraction form
    322,465/483,642 = 483,642/x
  3. Step 3: Cross multiply
    322,465x = 483,642 × 483,642
  4. Step 4: Simplify right side
    322,465x = 233,909,584,164
  5. Step 5: Solve for x
    x = 233,909,584,164/322,465
  6. Step 6: Final answer
    x = 725,379.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.